Solve -5/4x-1/8=19/8

$$- \frac { 5 } { 4 } x - \frac { 1 } { 8 } = \frac { 19 } { 8 }$$

Solve for x

$$x=-2$$

Steps for Solving Linear Equation

Add \frac{1}{8} to both sides.

$$-\frac{5}{4}x=\frac{19}{8}+\frac{1}{8}$$

Since \frac{19}{8} and \frac{1}{8} have the same denominator, add them by adding their numerators.

$$-\frac{5}{4}x=\frac{19+1}{8}$$

Add 19 and 1 to get 20.

$$-\frac{5}{4}x=\frac{20}{8}$$

Reduce the fraction \frac{20}{8} to lowest terms by extracting and canceling out 4.

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

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

$$x=\frac{5}{2}\left(-\frac{4}{5}\right)$$

Multiply \frac{5}{2} times -\frac{4}{5} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{5\left(-4\right)}{2\times 5}$$

Cancel out 5 in both numerator and denominator.

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

Divide -4 by 2 to get -2.

$$x=-2$$