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

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

Solve for x

$$x=-2$$

Steps for Solving Linear Equation

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

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

Since -\frac{1}{5} and \frac{3}{5} have the same denominator, subtract them by subtracting their numerators.

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

Subtract 3 from -1 to get -4.

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

Multiply both sides by \frac{5}{2}, the reciprocal of \frac{2}{5}.

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

Multiply -\frac{4}{5} times \frac{5}{2} by multiplying numerator times numerator and denominator times denominator.

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

Cancel out 5 in both numerator and denominator.

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

Divide -4 by 2 to get -2.

$$x=-2$$