Solve (72-x)-1/5x=3(72-x-x)

$$( 72 - x ) - \frac { 1 } { 5 } x = 3 ( 72 - x - x )$$

Solve for x

$$x=30$$

Steps for Solving Linear Equation

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

$$72-\frac{6}{5}x=3\left(72-x-x\right)$$

Combine -x and -x to get -2x.

$$72-\frac{6}{5}x=3\left(72-2x\right)$$

Use the distributive property to multiply 3 by 72-2x.

$$72-\frac{6}{5}x=216-6x$$

Add 6x to both sides.

$$72-\frac{6}{5}x+6x=216$$

Combine -\frac{6}{5}x and 6x to get \frac{24}{5}x.

$$72+\frac{24}{5}x=216$$

Subtract 72 from both sides.

$$\frac{24}{5}x=216-72$$

Subtract 72 from 216 to get 144.

$$\frac{24}{5}x=144$$

Multiply both sides by \frac{5}{24}, the reciprocal of \frac{24}{5}.

$$x=144\times \frac{5}{24}$$

Express 144\times \frac{5}{24} as a single fraction.

$$x=\frac{144\times 5}{24}$$

Multiply 144 and 5 to get 720.

$$x=\frac{720}{24}$$

Divide 720 by 24 to get 30.

$$x=30$$