Solve 120/30-x=60/30+x

$$\frac { 120 } { 30 - x } = \frac { 60 } { 30 + x }$$

Solve for x

$$x=-10$$

Steps for Solving Linear Equation

Variable x cannot be equal to any of the values -30,30 since division by zero is not defined. Multiply both sides of the equation by \left(x-30\right)\left(x+30\right), the least common multiple of 30-x,30+x.

$$-\left(30+x\right)\times 120=\left(x-30\right)\times 60$$

To find the opposite of 30+x, find the opposite of each term.

$$\left(-30-x\right)\times 120=\left(x-30\right)\times 60$$

Use the distributive property to multiply -30-x by 120.

$$-3600-120x=\left(x-30\right)\times 60$$

Use the distributive property to multiply x-30 by 60.

$$-3600-120x=60x-1800$$

Subtract 60x from both sides.

$$-3600-120x-60x=-1800$$

Combine -120x and -60x to get -180x.

$$-3600-180x=-1800$$

Add 3600 to both sides.

$$-180x=-1800+3600$$

Add -1800 and 3600 to get 1800.

$$-180x=1800$$

Divide both sides by -180.

$$x=\frac{1800}{-180}$$

Divide 1800 by -180 to get -10.

$$x=-10$$