Solve 33/12-x=11/18

$$\frac { 33 } { 12 } - x = \frac { 11 } { 18 }$$

Solve for x

$$x = \frac{77}{36} = 2\frac{5}{36} \approx 2.138888889$$

Steps for Solving Linear Equation

Reduce the fraction \frac{33}{12} to lowest terms by extracting and canceling out 3.

$$\frac{11}{4}-x=\frac{11}{18}$$

Subtract \frac{11}{4} from both sides.

$$-x=\frac{11}{18}-\frac{11}{4}$$

Least common multiple of 18 and 4 is 36. Convert \frac{11}{18} and \frac{11}{4} to fractions with denominator 36.

$$-x=\frac{22}{36}-\frac{99}{36}$$

Since \frac{22}{36} and \frac{99}{36} have the same denominator, subtract them by subtracting their numerators.

$$-x=\frac{22-99}{36}$$

Subtract 99 from 22 to get -77.

$$-x=-\frac{77}{36}$$

Multiply both sides by -1.

$$x=\frac{77}{36}$$