Solve 5/8x+3/4=1/4x

$$\frac { 5 } { 8 } x + \frac { 3 } { 4 } = \frac { 1 } { 4 } x$$

Solve for x

$$x=-2$$

Steps for Solving Linear Equation

Subtract \frac{1}{4}x from both sides.

$$\frac{5}{8}x+\frac{3}{4}-\frac{1}{4}x=0$$

Combine \frac{5}{8}x and -\frac{1}{4}x to get \frac{3}{8}x.

$$\frac{3}{8}x+\frac{3}{4}=0$$

Subtract \frac{3}{4} from both sides. Anything subtracted from zero gives its negation.

$$\frac{3}{8}x=-\frac{3}{4}$$

Multiply both sides by \frac{8}{3}, the reciprocal of \frac{3}{8}.

$$x=-\frac{3}{4}\times \frac{8}{3}$$

Multiply -\frac{3}{4} times \frac{8}{3} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{-3\times 8}{4\times 3}$$

Do the multiplications in the fraction \frac{-3\times 8}{4\times 3}.

$$x=\frac{-24}{12}$$

Divide -24 by 12 to get -2.

$$x=-2$$