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$2x+16=a(x+8)$

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Solve linear equations: mixed review

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Q.

2x+16=a(x+8)

Move Terms, Constants: Now, let's move all terms with $x$ to one side and constants to the other side. $\newline$ Subtract $ax$ from both sides. $\newline$ $2x - ax + 16 = 8a$
Subtract $16$ , Isolate x: Next, subtract $16$ from both sides to isolate the x terms. $\newline$ $2x - ax = 8a - 16$
Combine Like Terms: Combine like terms by factoring out $x$ . $\newline$ $x(2 - a) = 8a - 16$
Divide to Solve for $x$ : Finally, divide both sides by $(2 - a)$ to solve for $x$ . $x = \frac{8a - 16}{2 - a}$

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