Solve 100/(x+20)=60/(20-x)

$$\frac { 100 } { ( x + 20 ) } = \frac { 60 } { ( 20 - x ) }$$

Solve for x

$$x=5$$

Steps for Solving Linear Equation

Variable x cannot be equal to any of the values -20,20 since division by zero is not defined. Multiply both sides of the equation by \left(x-20\right)\left(x+20\right), the least common multiple of x+20,20-x.

$$\left(x-20\right)\times 100=-\left(20+x\right)\times 60$$

Use the distributive property to multiply x-20 by 100.

$$100x-2000=-\left(20+x\right)\times 60$$

Multiply -1 and 60 to get -60.

$$100x-2000=-60\left(20+x\right)$$

Use the distributive property to multiply -60 by 20+x.

$$100x-2000=-1200-60x$$

Add 60x to both sides.

$$100x-2000+60x=-1200$$

Combine 100x and 60x to get 160x.

$$160x-2000=-1200$$

Add 2000 to both sides.

$$160x=-1200+2000$$

Add -1200 and 2000 to get 800.

$$160x=800$$

Divide both sides by 160.

$$x=\frac{800}{160}$$

Divide 800 by 160 to get 5.

$$x=5$$