Solve 1/4-2/3x=11/12

$$\frac { 1 } { 4 } - \frac { 2 } { 3 } x = \frac { 11 } { 12 }$$

Solve for x

$$x=-1$$

Steps for Solving Linear Equation

Subtract \frac{1}{4} from both sides.

$$-\frac{2}{3}x=\frac{11}{12}-\frac{1}{4}$$

Least common multiple of 12 and 4 is 12. Convert \frac{11}{12} and \frac{1}{4} to fractions with denominator 12.

$$-\frac{2}{3}x=\frac{11}{12}-\frac{3}{12}$$

Since \frac{11}{12} and \frac{3}{12} have the same denominator, subtract them by subtracting their numerators.

$$-\frac{2}{3}x=\frac{11-3}{12}$$

Subtract 3 from 11 to get 8.

$$-\frac{2}{3}x=\frac{8}{12}$$

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

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

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

$$x=\frac{2}{3}\left(-\frac{3}{2}\right)$$

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

$$x=\frac{2\left(-3\right)}{3\times 2}$$

Cancel out 2 in both numerator and denominator.

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

Divide -3 by 3 to get -1.

$$x=-1$$