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question solve for x and simplify the answer fully. $\frac{x - 8}{x - 3…

Question

question
solve for x and simplify the answer fully.
$\frac{x - 8}{x - 3} = \frac{8}{9}$

Explanation:

Step1: Cross-multiply to eliminate fractions

$9(x - 8) = 8(x - 3)$

Step2: Expand both sides

$9x - 72 = 8x - 24$

Step3: Isolate x on one side

$9x - 8x = 72 - 24$

Step4: Simplify to solve for x

$x = 48$

Answer:

$x = 48$