Solve -9/5x=6/4

$$- \frac { 9 } { 5 } x = \frac { 6 } { 4 }$$

Solve for x

$$x=-\frac{5}{6}\approx -0.833333333$$

Steps for Solving Linear Equation

Reduce the fraction \frac{6}{4} to lowest terms by extracting and canceling out 2.

$$-\frac{9}{5}x=\frac{3}{2}$$

Multiply both sides by -\frac{5}{9}, the reciprocal of -\frac{9}{5}.

$$x=\frac{3}{2}\left(-\frac{5}{9}\right)$$

Multiply \frac{3}{2} times -\frac{5}{9} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{3\left(-5\right)}{2\times 9}$$

Do the multiplications in the fraction \frac{3\left(-5\right)}{2\times 9}.

$$x=\frac{-15}{18}$$

Reduce the fraction \frac{-15}{18} to lowest terms by extracting and canceling out 3.

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