Solve 80/80+x=60/100

$$\frac { 80 } { 80 + x } = \frac { 60 } { 100 }$$

Solve for x

$$x = \frac{160}{3} = 53\frac{1}{3} \approx 53.333333333$$

Steps for Solving Linear Equation

Variable x cannot be equal to -80 since division by zero is not defined. Multiply both sides of the equation by 100\left(x+80\right), the least common multiple of 80+x,100.

$$100\times 80=\left(x+80\right)\times 60$$

Multiply 100 and 80 to get 8000.

$$8000=\left(x+80\right)\times 60$$

Use the distributive property to multiply x+80 by 60.

$$8000=60x+4800$$

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

$$60x+4800=8000$$

Subtract 4800 from both sides.

$$60x=8000-4800$$

Subtract 4800 from 8000 to get 3200.

$$60x=3200$$

Divide both sides by 60.

$$x=\frac{3200}{60}$$

Reduce the fraction \frac{3200}{60} to lowest terms by extracting and canceling out 20.

$$x=\frac{160}{3}$$