Solve 3/10x-2/5=2

$$\frac { 3 } { 10 } x - \frac { 2 } { 5 } = 2$$

Solve for x

$$x=8$$

Steps for Solving Linear Equation

Add \frac{2}{5} to both sides.

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

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

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

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

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

Add 10 and 2 to get 12.

$$\frac{3}{10}x=\frac{12}{5}$$

Multiply both sides by \frac{10}{3}, the reciprocal of \frac{3}{10}.

$$x=\frac{12}{5}\times \frac{10}{3}$$

Multiply \frac{12}{5} times \frac{10}{3} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{12\times 10}{5\times 3}$$

Do the multiplications in the fraction \frac{12\times 10}{5\times 3}.

$$x=\frac{120}{15}$$

Divide 120 by 15 to get 8.

$$x=8$$