Solve 3/4x-2=2/5

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

Solve for x

$$x = \frac{16}{5} = 3\frac{1}{5} = 3.2$$

Steps for Solving Linear Equation

Add 2 to both sides.

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

Convert 2 to fraction \frac{10}{5}.

$$\frac{3}{4}x=\frac{2}{5}+\frac{10}{5}$$

Since \frac{2}{5} and \frac{10}{5} have the same denominator, add them by adding their numerators.

$$\frac{3}{4}x=\frac{2+10}{5}$$

Add 2 and 10 to get 12.

$$\frac{3}{4}x=\frac{12}{5}$$

Multiply both sides by \frac{4}{3}, the reciprocal of \frac{3}{4}.

$$x=\frac{12}{5}\times \frac{4}{3}$$

Multiply \frac{12}{5} times \frac{4}{3} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{12\times 4}{5\times 3}$$

Do the multiplications in the fraction \frac{12\times 4}{5\times 3}.

$$x=\frac{48}{15}$$

Reduce the fraction \frac{48}{15} to lowest terms by extracting and canceling out 3.

$$x=\frac{16}{5}$$