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

Question

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

Explanation:

Step1: Expand both sides

Left side: $5 - (2x + 2)=5 - 2x - 2 = 3 - 2x$
Right side: $4(x - 6)=4x - 24$
Equation becomes: $3 - 2x = 4x - 24$

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 by 6: $x=\frac{27}{6}=\frac{9}{2}=4.5$

Answer:

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