Solve for x. 8(x - a) - (28b - x) = a - b
A) x = 4a + 3b
B) x = 4a + 4b
C) x = a + 3b
D) x = a + 4b

Question

Quizplus · Accepted Answer

To solve the equation, we need to simplify and then isolate the x term.

8(x - a) - (28b - x) = a - b

Distribute the 8:

8x - 8a - 28b + x = a - b

Combine like terms:

9x - 8a - 28b = a - b

Add 28b to both sides:

9x - 8a = a + 27b

Add 8a to both sides:

9x = 9a + 27b

Divide both sides by 9:

x = a + 3b

Therefore, the answer is choice C.

Solve for X