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

$$5 ( 3 ) = ( x - 5 / 3 ) + 2$$

Solve for x

$$x = \frac{44}{3} = 14\frac{2}{3} \approx 14.666666667$$

Steps for Solving Linear Equation

Multiply 5 and 3 to get 15.

$$15=x-\frac{5}{3}+2$$

Convert 2 to fraction \frac{6}{3}.

$$15=x-\frac{5}{3}+\frac{6}{3}$$

Since -\frac{5}{3} and \frac{6}{3} have the same denominator, add them by adding their numerators.

$$15=x+\frac{-5+6}{3}$$

Add -5 and 6 to get 1.

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

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

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

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

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

Convert 15 to fraction \frac{45}{3}.

$$x=\frac{45}{3}-\frac{1}{3}$$

Since \frac{45}{3} and \frac{1}{3} have the same denominator, subtract them by subtracting their numerators.

$$x=\frac{45-1}{3}$$

Subtract 1 from 45 to get 44.

$$x=\frac{44}{3}$$