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

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

Solve for x

$$x=\frac{1}{6}\approx 0.166666667$$

Steps for Solving Linear Equation

Combine 5x and -3x to get 2x.

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

Subtract \frac{5}{3} from both sides.

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

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

$$2x=\frac{6}{3}-\frac{5}{3}$$

Since \frac{6}{3} and \frac{5}{3} have the same denominator, subtract them by subtracting their numerators.

$$2x=\frac{6-5}{3}$$

Subtract 5 from 6 to get 1.

$$2x=\frac{1}{3}$$

Divide both sides by 2.

$$x=\frac{\frac{1}{3}}{2}$$

Express \frac{\frac{1}{3}}{2} as a single fraction.

$$x=\frac{1}{3\times 2}$$

Multiply 3 and 2 to get 6.

$$x=\frac{1}{6}$$