Solve x-15=(90-x+15)1/5

$$x-15=(90-x+15) \frac{ 1 }{ 5 }$$

Solve for x

$$x=30$$

Steps for Solving Linear Equation

Add 90 and 15 to get 105.

$$x-15=\left(105-x\right)\times \frac{1}{5}$$

Use the distributive property to multiply 105-x by \frac{1}{5}.

$$x-15=105\times \frac{1}{5}-x\times \frac{1}{5}$$

Multiply 105 and \frac{1}{5} to get \frac{105}{5}.

$$x-15=\frac{105}{5}-x\times \frac{1}{5}$$

Divide 105 by 5 to get 21.

$$x-15=21-x\times \frac{1}{5}$$

Multiply -1 and \frac{1}{5} to get -\frac{1}{5}.

$$x-15=21-\frac{1}{5}x$$

Add \frac{1}{5}x to both sides.

$$x-15+\frac{1}{5}x=21$$

Combine x and \frac{1}{5}x to get \frac{6}{5}x.

$$\frac{6}{5}x-15=21$$

Add 15 to both sides.

$$\frac{6}{5}x=21+15$$

Add 21 and 15 to get 36.

$$\frac{6}{5}x=36$$

Multiply both sides by \frac{5}{6}, the reciprocal of \frac{6}{5}.

$$x=36\times \frac{5}{6}$$

Express 36\times \frac{5}{6} as a single fraction.

$$x=\frac{36\times 5}{6}$$

Multiply 36 and 5 to get 180.

$$x=\frac{180}{6}$$

Divide 180 by 6 to get 30.

$$x=30$$