Question

solve for x and simplify the answer fully.
$\frac{6}{x+5} = \frac{7}{x-7}$

Explanation:

Step1: Cross-multiply to eliminate fractions

$6(x - 7) = 7(x + 5)$

Step2: Expand both sides

$6x - 42 = 7x + 35$

Step3: Isolate x terms

$6x - 7x = 35 + 42$

Step4: Simplify to solve for x

$-x = 77$
$x = -77$

Answer:

$x = -77$