Solve -3/4x=-6/7

$$- \frac { 3 } { 4 } x = - \frac { 6 } { 7 }$$

Solve for x

$$x = \frac{8}{7} = 1\frac{1}{7} \approx 1.142857143$$

Steps for Solving Linear Equation

Multiply both sides by -\frac{4}{3}, the reciprocal of -\frac{3}{4}.

$$x=-\frac{6}{7}\left(-\frac{4}{3}\right)$$

Multiply -\frac{6}{7} times -\frac{4}{3} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{-6\left(-4\right)}{7\times 3}$$

Do the multiplications in the fraction \frac{-6\left(-4\right)}{7\times 3}.

$$x=\frac{24}{21}$$

Reduce the fraction \frac{24}{21} to lowest terms by extracting and canceling out 3.

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