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

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

Solve for x

$$x=-2$$

Steps for Solving Linear Equation

Add \frac{1}{5}x to both sides.

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

Combine \frac{2}{5}x and \frac{1}{5}x to get \frac{3}{5}x.

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

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

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

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

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

Subtract 3 from -3 to get -6.

$$\frac{3}{5}x=-\frac{6}{5}$$

Multiply both sides by \frac{5}{3}, the reciprocal of \frac{3}{5}.

$$x=-\frac{6}{5}\times \frac{5}{3}$$

Multiply -\frac{6}{5} times \frac{5}{3} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{-6\times 5}{5\times 3}$$

Cancel out 5 in both numerator and denominator.

$$x=\frac{-6}{3}$$

Divide -6 by 3 to get -2.

$$x=-2$$