Solve 2(1/3x+5)+2(1/2x)=180

$$2 ( \frac { 1 } { 3 } x + 5 ) + 2 ( \frac { 1 } { 2 } x ) = 180$$

Solve for x

$$x=102$$

Steps for Solving Linear Equation

Use the distributive property to multiply 2 by \frac{1}{3}x+5.

$$2\times \frac{1}{3}x+10+2\times \frac{1}{2}x=180$$

Multiply 2 and \frac{1}{3} to get \frac{2}{3}.

$$\frac{2}{3}x+10+2\times \frac{1}{2}x=180$$

Cancel out 2 and 2.

$$\frac{2}{3}x+10+x=180$$

Combine \frac{2}{3}x and x to get \frac{5}{3}x.

$$\frac{5}{3}x+10=180$$

Subtract 10 from both sides.

$$\frac{5}{3}x=180-10$$

Subtract 10 from 180 to get 170.

$$\frac{5}{3}x=170$$

Multiply both sides by \frac{3}{5}, the reciprocal of \frac{5}{3}.

$$x=170\times \frac{3}{5}$$

Express 170\times \frac{3}{5} as a single fraction.

$$x=\frac{170\times 3}{5}$$

Multiply 170 and 3 to get 510.

$$x=\frac{510}{5}$$

Divide 510 by 5 to get 102.

$$x=102$$