Solve -1/4x+5/3=2/3

$$- \frac { 1 } { 4 } x + \frac { 5 } { 3 } = \frac { 2 } { 3 }$$

Solve for x

$$x=4$$

Steps for Solving Linear Equation

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

$$-\frac{1}{4}x=\frac{2}{3}-\frac{5}{3}$$

Since \frac{2}{3} and \frac{5}{3} have the same denominator, subtract them by subtracting their numerators.

$$-\frac{1}{4}x=\frac{2-5}{3}$$

Subtract 5 from 2 to get -3.

$$-\frac{1}{4}x=\frac{-3}{3}$$

Divide -3 by 3 to get -1.

$$-\frac{1}{4}x=-1$$

Multiply both sides by -4, the reciprocal of -\frac{1}{4}.

$$x=-\left(-4\right)$$

Multiply -1 and -4 to get 4.

$$x=4$$