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⑤ \\(\frac{1}{2}(x - 4) = -8\\)

Question

⑤ \\(\frac{1}{2}(x - 4) = -8\\)

Explanation:

Step1: Eliminate the fraction

Multiply both sides of the equation $\frac{1}{2}(x - 4)=-8$ by 2 to get rid of the fraction.
$$2\times\frac{1}{2}(x - 4)=2\times(-8)$$
Simplifying both sides, we have $x - 4=-16$.

Step2: Solve for x

Add 4 to both sides of the equation $x - 4=-16$.
$$x-4 + 4=-16 + 4$$
Simplifying both sides, we get $x=-12$.

Answer:

$x = -12$