Solve 180=1/3left(x+30right)+x+30+x

$$180 = \frac{ 1 }{ 3 } \left( x+30 \right) +x+30+x$$

Solve for x

$$x=60$$

Steps for Solving Linear Equation

Use the distributive property to multiply \frac{1}{3} by x+30.

$$180=\frac{1}{3}x+\frac{1}{3}\times 30+x+30+x$$

Multiply \frac{1}{3} and 30 to get \frac{30}{3}.

$$180=\frac{1}{3}x+\frac{30}{3}+x+30+x$$

Divide 30 by 3 to get 10.

$$180=\frac{1}{3}x+10+x+30+x$$

Combine \frac{1}{3}x and x to get \frac{4}{3}x.

$$180=\frac{4}{3}x+10+30+x$$

Add 10 and 30 to get 40.

$$180=\frac{4}{3}x+40+x$$

Combine \frac{4}{3}x and x to get \frac{7}{3}x.

$$180=\frac{7}{3}x+40$$

Swap sides so that all variable terms are on the left hand side.

$$\frac{7}{3}x+40=180$$

Subtract 40 from both sides.

$$\frac{7}{3}x=180-40$$

Subtract 40 from 180 to get 140.

$$\frac{7}{3}x=140$$

Multiply both sides by \frac{3}{7}, the reciprocal of \frac{7}{3}.

$$x=140\times \frac{3}{7}$$

Express 140\times \frac{3}{7} as a single fraction.

$$x=\frac{140\times 3}{7}$$

Multiply 140 and 3 to get 420.

$$x=\frac{420}{7}$$

Divide 420 by 7 to get 60.

$$x=60$$