Solving Simple Equations

1) X - 3 = 10

X = -7

X = 13

X = 7

X = -13

The given equation is x - 3 = 10. To solve for x, we need to isolate x on one side of the equation. Adding 3 to both sides, we get x = 13. Therefore, the correct answer is x = 13.

Explanation

The given equation is x - 3 = 10. To solve for x, we need to isolate x on one side of the equation. Adding 3 to both sides, we get x = 13. Therefore, the correct answer is x = 13.

2) 1 + 2x = 7

X = 3

X = -4

X = 4

X = -3

The correct answer is x = 3 because when we substitute x = 3 into the equation 1 + 2x = 7, we get 1 + 2(3) = 7 which simplifies to 1 + 6 = 7. This equation is true, therefore x = 3 is the correct solution.

Explanation

The correct answer is x = 3 because when we substitute x = 3 into the equation 1 + 2x = 7, we get 1 + 2(3) = 7 which simplifies to 1 + 6 = 7. This equation is true, therefore x = 3 is the correct solution.

3) -10 + x = 3

X = 7

X = -7

X = 13

X = -13

To solve for x, you need to isolate it on one side of the equation.

Add 10 to both sides: -10 + x + 10 = 3 + 10

Simplify: x = 13

Explanation

To solve for x, you need to isolate it on one side of the equation.

Add 10 to both sides: -10 + x + 10 = 3 + 10

Simplify: x = 13

4) X - ( -7) = 15

X = 8

X = -22

X = 22

X = -8

Explanation

5) 2 + 2x = 7 + x

X = -5

X = 3

X = -3

X = 5

To solve the equation 2 + 2x = 7 + x, we need to isolate the variable x. First, we can combine like terms by subtracting x from both sides of the equation, resulting in 2 + x = 7. Next, we can subtract 2 from both sides to get x = 5. Therefore, the correct answer is x = 5.

Explanation

To solve the equation 2 + 2x = 7 + x, we need to isolate the variable x. First, we can combine like terms by subtracting x from both sides of the equation, resulting in 2 + x = 7. Next, we can subtract 2 from both sides to get x = 5. Therefore, the correct answer is x = 5.

6) 3x + 3 = 3 + 2x

X = 6

X = -6

X = 0

X = 6/5

The given equation is a linear equation in one variable. By simplifying the equation, we can combine like terms and isolate the variable x. When we do this, we find that the equation simplifies to 3x - 2x = 3 - 3, which further simplifies to x = 0. Therefore, the correct answer is x = 0.

Explanation

The given equation is a linear equation in one variable. By simplifying the equation, we can combine like terms and isolate the variable x. When we do this, we find that the equation simplifies to 3x - 2x = 3 - 3, which further simplifies to x = 0. Therefore, the correct answer is x = 0.

7) 5x - 2 = -8 + 4x

X = 6

X = 10

X = -6

X = -10

The equation given is a linear equation with one variable. To solve it, we need to isolate the variable on one side of the equation. By subtracting 4x from both sides of the equation, we get x - 2 = -8. Then, by adding 2 to both sides of the equation, we get x = -6. Thus, the correct answer is x = -6.

Explanation

The equation given is a linear equation with one variable. To solve it, we need to isolate the variable on one side of the equation. By subtracting 4x from both sides of the equation, we get x - 2 = -8. Then, by adding 2 to both sides of the equation, we get x = -6. Thus, the correct answer is x = -6.

8) 4x - 4 = -6 + 3x

X = -2

X = 10

X = -10

X = 2

By rearranging the equation, we can simplify it to 4x - 3x = -6 + 4. This further simplifies to x = -2, which means that -2 is the value of x that satisfies the given equation.

Explanation

By rearranging the equation, we can simplify it to 4x - 3x = -6 + 4. This further simplifies to x = -2, which means that -2 is the value of x that satisfies the given equation.

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X = 2/3

X = 1/6

X = 6

X = 3/2

The given answer, x = 6, is correct because it is the only value among the given options that is a whole number. The other options are either fractions or decimal numbers. Therefore, x = 6 is the only option that satisfies the condition of being a whole number.

Explanation

The given answer, x = 6, is correct because it is the only value among the given options that is a whole number. The other options are either fractions or decimal numbers. Therefore, x = 6 is the only option that satisfies the condition of being a whole number.

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X = 1/2

X = 2

X = -1/2

X = -2

The given answer, x = -2, is correct because it satisfies the equation. By substituting -2 into the equation, we get -2 = -2, which is a true statement. Therefore, x = -2 is a valid solution.

Explanation

The given answer, x = -2, is correct because it satisfies the equation. By substituting -2 into the equation, we get -2 = -2, which is a true statement. Therefore, x = -2 is a valid solution.