Solve 6/1+x+100/1+x-96=0

$$\frac { 6 } { 1 + x } + \frac { 100 } { 1 + x } - 96 = 0$$

Solve for x

$$x=\frac{5}{48}\approx 0.104166667$$

Steps for Solving Linear Equation

Variable x cannot be equal to -1 since division by zero is not defined. Multiply both sides of the equation by x+1.

$$6+100+\left(x+1\right)\left(-96\right)=0$$

Add 6 and 100 to get 106.

$$106+\left(x+1\right)\left(-96\right)=0$$

Use the distributive property to multiply x+1 by -96.

$$106-96x-96=0$$

Subtract 96 from 106 to get 10.

$$10-96x=0$$

Subtract 10 from both sides. Anything subtracted from zero gives its negation.

$$-96x=-10$$

Divide both sides by -96.

$$x=\frac{-10}{-96}$$

Reduce the fraction \frac{-10}{-96} to lowest terms by extracting and canceling out -2.

$$x=\frac{5}{48}$$