Question

Solve for x: 5(x + 3) = 4(x − 3) Group of answer choices −18 −27 −3 −6

Answer 1

x = -27

Explanation:

Step 1: Distribute the 5 and the 4:

(5 * x) + (5 * 3) = (4 * x) + (4 * -3)

5x + 15 = 4x - 12

Step 2: Add 12 to both sides:

(5x + 15 = 4x - 12) + 12

5x + 27 = 4x

Step 2: Subtract 5x from both sides:

(5x + 27 = 4x) - 5x

27 = -x

Step 4: Divide both sides by -1 to solve for x:

(27 = -x) / -1

-27 = x

Thus, x = -27.