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

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

Solve for x

$$x=5$$

Steps for Solving Linear Equation

Combine 2x and -\frac{3}{5}x to get \frac{7}{5}x.

$$\frac{7}{5}x=\frac{3}{2}x-\frac{1}{2}-\frac{2}{5}x+2$$

Combine \frac{3}{2}x and -\frac{2}{5}x to get \frac{11}{10}x.

$$\frac{7}{5}x=\frac{11}{10}x-\frac{1}{2}+2$$

Convert 2 to fraction \frac{4}{2}.

$$\frac{7}{5}x=\frac{11}{10}x-\frac{1}{2}+\frac{4}{2}$$

Since -\frac{1}{2} and \frac{4}{2} have the same denominator, add them by adding their numerators.

$$\frac{7}{5}x=\frac{11}{10}x+\frac{-1+4}{2}$$

Add -1 and 4 to get 3.

$$\frac{7}{5}x=\frac{11}{10}x+\frac{3}{2}$$

Subtract \frac{11}{10}x from both sides.

$$\frac{7}{5}x-\frac{11}{10}x=\frac{3}{2}$$

Combine \frac{7}{5}x and -\frac{11}{10}x to get \frac{3}{10}x.

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

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

$$x=\frac{3}{2}\times \frac{10}{3}$$

Multiply \frac{3}{2} times \frac{10}{3} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{3\times 10}{2\times 3}$$

Cancel out 3 in both numerator and denominator.

$$x=\frac{10}{2}$$

Divide 10 by 2 to get 5.

$$x=5$$