# Equations With Variables On Both Sides?

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| By Bhawnakul14
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Bhawnakul14
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Quizzes Created: 16 | Total Attempts: 69,077
Questions: 8 | Attempts: 433

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• 1.

### 9x - 12 = 3x

• A.

2

• B.

-2

• C.

1

• D.

-1

A. 2
Explanation
By solving the equation 9x - 12 = 3x, we can find the value of x. First, we can simplify the equation by subtracting 3x from both sides, which gives us 6x - 12 = 0. Then, we can add 12 to both sides to isolate the variable, resulting in 6x = 12. Finally, we divide both sides by 6 to solve for x, getting x = 2. Therefore, the correct answer is 2.

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• 2.

### 8x - 12 = 15x - 4x

• A.

4

• B.

-3/5

• C.

-4

• D.

+3/5

C. -4
Explanation
In the given equation, we have 8x - 12 on the left side and 15x - 4x on the right side. To solve the equation, we need to simplify both sides by combining like terms. On the left side, we have 8x - 12, and on the right side, we have 15x - 4x which simplifies to 11x. Therefore, the equation becomes 8x - 12 = 11x. To isolate x, we subtract 11x from both sides, resulting in -3x - 12 = 0. Finally, we add 12 to both sides, giving us -3x = 12. Dividing both sides by -3, we find that x = -4.

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• 3.

### 11 + 6x = 2x - 13

• A.

4

• B.

-4

• C.

6

• D.

-6

D. -6
Explanation
To find the value of x in the equation 11 + 6x = 2x - 13, we need to isolate the variable x. First, we can simplify the equation by combining like terms. By subtracting 2x from both sides, we get 9 + 4x = -13. Next, by subtracting 9 from both sides, we obtain 4x = -22. To solve for x, we divide both sides by 4, which gives us x = -5.5. However, since the given answer choices are integers, we round down to the nearest whole number, resulting in x = -6.

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• 4.

### -5x = 9 - 2x

• A.

9/7

• B.

-9/7

• C.

3

• D.

-3

D. -3
Explanation
The given equation is -5x = 9 - 2x. To solve for x, we can combine like terms by adding 2x to both sides of the equation, which gives -3x = 9. Then, we divide both sides of the equation by -3 to isolate x, resulting in x = -3. Therefore, the correct answer is -3.

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• 5.

### -8x - 10 = 4x + 14

• A.

6

• B.

2

• C.

-6

• D.

-2

D. -2
Explanation
To solve the equation -8x - 10 = 4x + 14, we need to isolate the variable x. First, we can add 8x to both sides of the equation to eliminate the variable on the left side. This gives us -10 = 12x + 14. Next, we can subtract 14 from both sides to move the constant term to the right side. This gives us -24 = 12x. Finally, we can divide both sides by 12 to solve for x. This gives us x = -2. Therefore, the correct answer is -2.

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• 6.

### 10x - 5 = 21 - 3x

• A.

2

• B.

2

• C.

3

• D.

3

• E.

4

• F.

4

• G.

-2

• H.

-2

A. 2
B. 2
Explanation
The given equation is a linear equation in one variable. To solve it, we can start by simplifying both sides of the equation. By adding 3x to both sides and adding 5 to both sides, we get 13x = 26. Dividing both sides by 13, we find that x = 2. Therefore, the equation is satisfied when x = 2.

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• 7.

### -12x = 14 - 5x

• A.

1

• B.

2

• C.

-2

• D.

3

C. -2
Explanation
To solve the equation -12x = 14 - 5x, we need to isolate the variable x. We can do this by combining like terms. Subtracting -5x from both sides of the equation, we get -12x + 5x = 14. Simplifying this, we have -7x = 14. To solve for x, we divide both sides of the equation by -7. This gives us x = -2. Therefore, the correct answer is -2.

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• 8.

### 4x + 12 = -3x - 6 + 4x

• A.

4

• B.

3

• C.

-6

• D.

2

C. -6
Explanation
In the given equation, 4x + 12 = -3x - 6 + 4x, we need to simplify and solve for x. By combining like terms, we can simplify the equation to 8x + 12 = -6. Next, by subtracting 12 from both sides, we get 8x = -18. Finally, dividing both sides by 8, we find that x = -2.25. Therefore, the answer -6 is incorrect and does not correspond to any step in the solution process.

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• Current Version
• Mar 19, 2023
Quiz Edited by
ProProfs Editorial Team
• Dec 03, 2015
Quiz Created by
Bhawnakul14

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