Evaluate: 6/(x+1)-3/2 = 8/(3(x+1))x

Expression: $\frac{6}{x+1}-\frac{3}{2}=\frac{8}{3(x+1)}x$

Multiply by LCM

$-9x+27=16x$

Subtract $27$ from both sides

$-9x+27-27=16x-27$

Simplify

$-9x=16x-27$

Subtract $16x$ from both sides

$-9x-16x=16x-27-16x$

Simplify

$-25x=-27$

Divide both sides by $-25$

$\frac{-25x}{-25}=\frac{-27}{-25}$

Simplify

$x=\frac{27}{25}$

Verify Solutions

$x=\frac{27}{25}$