Question

question
solve for x and simplify the answer fully.
$\frac{4}{x+8}=\frac{3}{2x-9}$
answer attempt 1 out of 2
$x=$

Explanation:

Step1: Cross-multiply to eliminate fractions

$4(2x - 9) = 3(x + 8)$

Step2: Expand both sides of the equation

$8x - 36 = 3x + 24$

Step3: Isolate x terms on one side

$8x - 3x = 24 + 36$

Step4: Simplify to solve for x

$5x = 60$
$x = \frac{60}{5} = 60$

Answer:

$x = 60$