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

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

Solve for x

$$x=-6$$

Steps for Solving Linear Equation

Subtract \frac{6}{5} from both sides.

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

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

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

Subtract 6 from -6 to get -12.

$$\frac{2}{5}x=-\frac{12}{5}$$

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

$$x=-\frac{12}{5}\times \frac{5}{2}$$

Multiply -\frac{12}{5} times \frac{5}{2} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{-12\times 5}{5\times 2}$$

Cancel out 5 in both numerator and denominator.

$$x=\frac{-12}{2}$$

Divide -12 by 2 to get -6.

$$x=-6$$