Solve 3/8x=5/4-1/2

$$3 / 8 x = 5 / 4 - 1 / 2$$

Solve for x

$$x=2$$

Steps for Solving Linear Equation

Least common multiple of 4 and 2 is 4. Convert \frac{5}{4} and \frac{1}{2} to fractions with denominator 4.

$$\frac{3}{8}x=\frac{5}{4}-\frac{2}{4}$$

Since \frac{5}{4} and \frac{2}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{3}{8}x=\frac{5-2}{4}$$

Subtract 2 from 5 to get 3.

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

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.

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

Cancel out 3 in both numerator and denominator.

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

Divide 8 by 4 to get 2.

$$x=2$$