Solve 2/3(x-3/4)=1/12

$$\frac { 2 } { 3 } ( x - \frac { 3 } { 4 } ) = \frac { 1 } { 12 }$$

Solve for x

$$x=\frac{7}{8}=0.875$$

Steps for Solving Linear Equation

Multiply both sides by \frac{3}{2}, the reciprocal of \frac{2}{3}.

$$x-\frac{3}{4}=\frac{1}{12}\times \frac{3}{2}$$

Multiply \frac{1}{12} times \frac{3}{2} by multiplying numerator times numerator and denominator times denominator.

$$x-\frac{3}{4}=\frac{1\times 3}{12\times 2}$$

Do the multiplications in the fraction \frac{1\times 3}{12\times 2}.

$$x-\frac{3}{4}=\frac{3}{24}$$

Reduce the fraction \frac{3}{24} to lowest terms by extracting and canceling out 3.

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

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

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

Least common multiple of 8 and 4 is 8. Convert \frac{1}{8} and \frac{3}{4} to fractions with denominator 8.

$$x=\frac{1}{8}+\frac{6}{8}$$

Since \frac{1}{8} and \frac{6}{8} have the same denominator, add them by adding their numerators.

$$x=\frac{1+6}{8}$$

Add 1 and 6 to get 7.

$$x=\frac{7}{8}$$