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57 1) solve for x. $2x + 8 - 6x = -2(-2x + 12)$

Question

57

  1. solve for x.

$2x + 8 - 6x = -2(-2x + 12)$

Explanation:

Step1: Combine like terms on left

$2x - 6x + 8 = -4x + 8$

Step2: Expand right-hand side

$-2(-2x) + (-2)(12) = 4x - 24$

Step3: Set sides equal, rearrange x terms

$-4x - 4x = -24 - 8$

Step4: Simplify both sides

$-8x = -32$

Step5: Solve for x by dividing

$x = \frac{-32}{-8}$

Answer:

$x = 4$