Solve 3/8*x+1/3=7/12

$$\frac { 3 } { 8 } \times x + \frac { 1 } { 3 } = \frac { 7 } { 12 }$$

Solve for x

$$x=\frac{2}{3}\approx 0.666666667$$

Steps for Solving Linear Equation

Subtract \frac{1}{3} from both sides.

$$\frac{3}{8}x=\frac{7}{12}-\frac{1}{3}$$

Least common multiple of 12 and 3 is 12. Convert \frac{7}{12} and \frac{1}{3} to fractions with denominator 12.

$$\frac{3}{8}x=\frac{7}{12}-\frac{4}{12}$$

Since \frac{7}{12} and \frac{4}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{3}{8}x=\frac{7-4}{12}$$

Subtract 4 from 7 to get 3.

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

Reduce the fraction \frac{3}{12} to lowest terms by extracting and canceling out 3.

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

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

$$x=\frac{1}{4}\times \frac{8}{3}$$

Multiply \frac{1}{4} times \frac{8}{3} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{1\times 8}{4\times 3}$$

Do the multiplications in the fraction \frac{1\times 8}{4\times 3}.

$$x=\frac{8}{12}$$

Reduce the fraction \frac{8}{12} to lowest terms by extracting and canceling out 4.

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