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

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

Solve for x

$$x=15$$

Steps for Solving Linear Equation

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

$$2\times \frac{1}{3}x+10=x+5$$

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

$$\frac{2}{3}x+10=x+5$$

Subtract x from both sides.

$$\frac{2}{3}x+10-x=5$$

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

$$-\frac{1}{3}x+10=5$$

Subtract 10 from both sides.

$$-\frac{1}{3}x=5-10$$

Subtract 10 from 5 to get -5.

$$-\frac{1}{3}x=-5$$

Multiply both sides by -3, the reciprocal of -\frac{1}{3}.

$$x=-5\left(-3\right)$$

Multiply -5 and -3 to get 15.

$$x=15$$