Solve 4/5x+2/5=-6/5

$$\frac { 4 } { 5 } x + \frac { 2 } { 5 } = - \frac { 6 } { 5 }$$

Solve for x

$$x=-2$$

Steps for Solving Linear Equation

Subtract \frac{2}{5} from both sides.

$$\frac{4}{5}x=-\frac{6}{5}-\frac{2}{5}$$

Since -\frac{6}{5} and \frac{2}{5} have the same denominator, subtract them by subtracting their numerators.

$$\frac{4}{5}x=\frac{-6-2}{5}$$

Subtract 2 from -6 to get -8.

$$\frac{4}{5}x=-\frac{8}{5}$$

Multiply both sides by \frac{5}{4}, the reciprocal of \frac{4}{5}.

$$x=-\frac{8}{5}\times \frac{5}{4}$$

Multiply -\frac{8}{5} times \frac{5}{4} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{-8\times 5}{5\times 4}$$

Cancel out 5 in both numerator and denominator.

$$x=\frac{-8}{4}$$

Divide -8 by 4 to get -2.

$$x=-2$$