Solve 3/8x-3/4=-5/8

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

Solve for x

$$x=\frac{1}{3}\approx 0.333333333$$

Steps for Solving Linear Equation

Add \frac{3}{4} to both sides.

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

Least common multiple of 8 and 4 is 8. Convert -\frac{5}{8} and \frac{3}{4} to fractions with denominator 8.

$$\frac{3}{8}x=-\frac{5}{8}+\frac{6}{8}$$

Since -\frac{5}{8} and \frac{6}{8} have the same denominator, add them by adding their numerators.

$$\frac{3}{8}x=\frac{-5+6}{8}$$

Add -5 and 6 to get 1.

$$\frac{3}{8}x=\frac{1}{8}$$

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

$$x=\frac{1}{8}\times \frac{8}{3}$$

Multiply \frac{1}{8} times \frac{8}{3} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{1\times 8}{8\times 3}$$

Cancel out 8 in both numerator and denominator.

$$x=\frac{1}{3}$$