Solve 4/7x+6/7=-2/7

$$\frac { 4 } { 7 } x + \frac { 6 } { 7 } = - \frac { 2 } { 7 }$$

Solve for x

$$x=-2$$

Steps for Solving Linear Equation

Subtract \frac{6}{7} from both sides.

$$\frac{4}{7}x=-\frac{2}{7}-\frac{6}{7}$$

Since -\frac{2}{7} and \frac{6}{7} have the same denominator, subtract them by subtracting their numerators.

$$\frac{4}{7}x=\frac{-2-6}{7}$$

Subtract 6 from -2 to get -8.

$$\frac{4}{7}x=-\frac{8}{7}$$

Multiply both sides by \frac{7}{4}, the reciprocal of \frac{4}{7}.

$$x=-\frac{8}{7}\times \frac{7}{4}$$

Multiply -\frac{8}{7} times \frac{7}{4} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{-8\times 7}{7\times 4}$$

Cancel out 7 in both numerator and denominator.

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

Divide -8 by 4 to get -2.

$$x=-2$$