Solve 13+x=1/3(45+x)

$$13+x= \frac{ 1 }{ 3 } (45+x)$$

Solve for x

$$x=3$$

Steps for Solving Linear Equation

Use the distributive property to multiply \frac{1}{3} by 45+x.

$$13+x=\frac{1}{3}\times 45+\frac{1}{3}x$$

Multiply \frac{1}{3} and 45 to get \frac{45}{3}.

$$13+x=\frac{45}{3}+\frac{1}{3}x$$

Divide 45 by 3 to get 15.

$$13+x=15+\frac{1}{3}x$$

Subtract \frac{1}{3}x from both sides.

$$13+x-\frac{1}{3}x=15$$

Combine x and -\frac{1}{3}x to get \frac{2}{3}x.

$$13+\frac{2}{3}x=15$$

Subtract 13 from both sides.

$$\frac{2}{3}x=15-13$$

Subtract 13 from 15 to get 2.

$$\frac{2}{3}x=2$$

Multiply both sides by \frac{3}{2}, the reciprocal of \frac{2}{3}.

$$x=2\times \frac{3}{2}$$

Cancel out 2 and 2.

$$x=3$$