Solve 95/x+95=75/100

$$\frac{ 95 }{ x+95 } = \frac{ 75 }{ 100 }$$

Solve for x

$$x = \frac{95}{3} = 31\frac{2}{3} \approx 31.666666667$$

Steps for Solving Linear Equation

Variable x cannot be equal to -95 since division by zero is not defined. Multiply both sides of the equation by 100\left(x+95\right), the least common multiple of x+95,100.

$$100\times 95=\left(x+95\right)\times 75$$

Multiply 100 and 95 to get 9500.

$$9500=\left(x+95\right)\times 75$$

Use the distributive property to multiply x+95 by 75.

$$9500=75x+7125$$

Swap sides so that all variable terms are on the left hand side.

$$75x+7125=9500$$

Subtract 7125 from both sides.

$$75x=9500-7125$$

Subtract 7125 from 9500 to get 2375.

$$75x=2375$$

Divide both sides by 75.

$$x=\frac{2375}{75}$$

Reduce the fraction \frac{2375}{75} to lowest terms by extracting and canceling out 25.

$$x=\frac{95}{3}$$