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3(6 + 2x) = 8(5x + 6) - 4x

Question

3(6 + 2x) = 8(5x + 6) - 4x

Explanation:

Step1: Expand both sides

$3\times6 + 3\times2x = 8\times5x + 8\times6 - 4x$
$18 + 6x = 40x + 48 - 4x$

Step2: Simplify right-hand side

$18 + 6x = 36x + 48$

Step3: Isolate x terms to one side

$18 - 48 = 36x - 6x$
$-30 = 30x$

Step4: Solve for x

$x = \frac{-30}{30}$

Answer:

$x = -1$