Solve 3/4x+3/2=3/8

$$\frac { 3 } { 4 } x + \frac { 3 } { 2 } = \frac { 3 } { 8 }$$

Solve for x

$$x = -\frac{3}{2} = -1\frac{1}{2} = -1.5$$

Steps for Solving Linear Equation

Subtract \frac{3}{2} from both sides.

$$\frac{3}{4}x=\frac{3}{8}-\frac{3}{2}$$

Least common multiple of 8 and 2 is 8. Convert \frac{3}{8} and \frac{3}{2} to fractions with denominator 8.

$$\frac{3}{4}x=\frac{3}{8}-\frac{12}{8}$$

Since \frac{3}{8} and \frac{12}{8} have the same denominator, subtract them by subtracting their numerators.

$$\frac{3}{4}x=\frac{3-12}{8}$$

Subtract 12 from 3 to get -9.

$$\frac{3}{4}x=-\frac{9}{8}$$

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

$$x=-\frac{9}{8}\times \frac{4}{3}$$

Multiply -\frac{9}{8} times \frac{4}{3} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{-9\times 4}{8\times 3}$$

Do the multiplications in the fraction \frac{-9\times 4}{8\times 3}.

$$x=\frac{-36}{24}$$

Reduce the fraction \frac{-36}{24} to lowest terms by extracting and canceling out 12.

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