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

Question

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

Explanation:

Step1: Remove parentheses

Using the distributive property, we have:
$5 - 2x - 2 = 4x - 24$
Simplify the left side:
$3 - 2x = 4x - 24$

Step2: Move terms with x to one side

Add $2x$ to both sides:
$3 = 6x - 24$

Step3: Solve for x

Add 24 to both sides:
$27 = 6x$
Divide both sides by 6:
$x = \frac{27}{6} = \frac{9}{2} = 4.5$

Answer:

$x = \frac{9}{2}$ (or $x = 4.5$)