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-6(4x - 3) + 3x = -5(2 + 7x)

Question

-6(4x - 3) + 3x = -5(2 + 7x)

Explanation:

Step1: Expand both sides

$-6(4x-3)+3x = -5(2+7x)$
$\implies -24x + 18 + 3x = -10 - 35x$

Step2: Combine like terms

$\implies -21x + 18 = -10 - 35x$

Step3: Isolate x terms

Add $35x$ to both sides:
$\implies 14x + 18 = -10$

Step4: Isolate constant terms

Subtract 18 from both sides:
$\implies 14x = -28$

Step5: Solve for x

Divide by 14:
$\implies x = \frac{-28}{14}$

Answer:

$x = -2$