Calculate: 4/(x+10)= 8/(x-5)

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Expression: $\frac{4}{x+10}=\frac{8}{x-5}$

Cross multiply

$4x-20=8x+80$

Add $20$ to both sides

$4x-20+20=8x+80+20$

Simplify

$4x=8x+100$

Subtract $8x$ from both sides

$4x-8x=8x+100-8x$

Simplify

$-4x=100$

Divide both sides by $-4$

$\frac{-4x}{-4}=\frac{100}{-4}$

Simplify

$x=-25$

Verify Solutions

$x=-25$

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