Solving Equations (Variables and Combining Like Terms)

6x + 3x = 18

• x = 1/2

• x = 2

• x = 6

• x = 1/3

Answer explanation

To solve the equation, combine like terms by adding the coefficients of x. This gives 9x = 18. Divide both sides by 9 to isolate x, resulting in x = 2. Therefore, the correct choice is 'x = 2'. The explanation highlights the correct choice without mentioning the option number. The equation '6x + 3x = 18' is referred to as the question.

7x - 4x = 27

• x = 9

• x = 27/11

• x = 11/27

• x = 1/3

Answer explanation

To solve the equation 7x - 4x = 27, we combine like terms to get 3x = 27. Dividing both sides by 3, we find that x = 9. This means that the correct choice is x = 9. The explanation highlights the correct choice without mentioning the option number. The equation is referred to as a question. The explanation is within the word limit of 75 words.

12 - 10x + 5x = -18

• x = 6/5

• x = 2

• x = 6

• x = -6

Answer explanation

To solve the given question, we need to simplify the equation. Combining like terms, we have 12 - 10x + 5x = -18. Simplifying further, we get 12 - 5x = -18. Moving the constant term to the right side, we have -5x = -18 - 12, which simplifies to -5x = -30. Dividing both sides by -5, we find that x = 6. Therefore, the correct choice is x = 6.

-15 + 3x - 7x = -43

• x = 7

• x = -7

• x = 58/4

• x = -14/5

Answer explanation

To solve the equation, we need to combine like terms. Simplifying the left side gives -15 - 4x = -43. Adding 15 to both sides, we get -4x = -28. Dividing both sides by -4, we find that x = 7. Therefore, the correct choice is x = 7.

3h - 5h + 11 = 17

• h = -3/4

• h = -19

• h = -3

• h = 7/2

Answer explanation

To solve the equation, we need to isolate the variable 'h'. First, we simplify the left side of the equation by combining like terms: 3h - 5h = -2h. The equation now becomes -2h + 11 = 17. Next, we subtract 11 from both sides to get -2h = 6. To solve for 'h', we divide both sides by -2, giving us h = -3. Therefore, the correct choice is h = -3.

5x - 14 = 8x + 4

• x = 6

• x = -6

• x = -18/13

• x = 10/3

Answer explanation

To solve the equation 5x - 14 = 8x + 4, we need to isolate the variable x. First, we can simplify both sides by subtracting 5x from both sides, which gives us -14 = 3x + 4. Next, we can subtract 4 from both sides to get -18 = 3x. Finally, dividing both sides by 3, we find that x = -6. Therefore, the correct choice is x = -6.

7x - 4 = 3 + 8x

• x = 7

• x = -7

• x = 2/7

• x = 11

Answer explanation

To solve the equation, we need to isolate the variable x. First, let's simplify both sides of the equation by combining like terms. Subtract 7x from both sides to get -4 = 3 + x. Next, subtract 3 from both sides to get -7 = x. Therefore, the correct answer is x = -7.

f - 4 = 6f + 26

• f = -5

• f = 5

• f = 6

• f = -6

Answer explanation

To solve the equation, we need to isolate the variable f. First, let's simplify the equation by combining like terms. Subtracting 6f from both sides gives -4 = 5f + 26. Next, subtract 26 from both sides to get -30 = 5f. Finally, divide both sides by 5 to find that f = -6. Therefore, the correct choice is f = -6.

10x + 9 = 4x - 9

• 0

• 3

• -3

• -18

Answer explanation

To solve the equation, we need to isolate the variable. Subtract 4x from both sides to get 6x + 9 = -9. Then, subtract 9 from both sides to get 6x = -18. Finally, divide both sides by 6 to find x = -3. Therefore, the correct choice is -3.

-5k + 10 = -2k - 14

• 8

• -8

• 2

• -2

Answer explanation

To solve the equation, we need to isolate the variable. First, let's simplify both sides by combining like terms. -5k and -2k can be combined to give -7k. So, the equation becomes -7k + 10 = -14. Next, let's isolate the variable by subtracting 10 from both sides. This gives us -7k = -24. Finally, divide both sides by -7 to solve for k. The answer is k = 8. Therefore, the correct choice is 8.