Solve 2/3x-4=2/5

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

Solve for x

$$x = \frac{33}{5} = 6\frac{3}{5} = 6.6$$

Steps for Solving Linear Equation

Add 4 to both sides.

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

Convert 4 to fraction \frac{20}{5}.

$$\frac{2}{3}x=\frac{2}{5}+\frac{20}{5}$$

Since \frac{2}{5} and \frac{20}{5} have the same denominator, add them by adding their numerators.

$$\frac{2}{3}x=\frac{2+20}{5}$$

Add 2 and 20 to get 22.

$$\frac{2}{3}x=\frac{22}{5}$$

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

$$x=\frac{22}{5}\times \frac{3}{2}$$

Multiply \frac{22}{5} times \frac{3}{2} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{22\times 3}{5\times 2}$$

Do the multiplications in the fraction \frac{22\times 3}{5\times 2}.

$$x=\frac{66}{10}$$

Reduce the fraction \frac{66}{10} to lowest terms by extracting and canceling out 2.

$$x=\frac{33}{5}$$