Solve 20x-5/6-3/2=6x

$$20x- \frac{ 5 }{ 6 } - \frac{ 3 }{ 2 } =6x$$

Solve for x

$$x=\frac{1}{6}\approx 0.166666667$$

Steps for Solving Linear Equation

Least common multiple of 6 and 2 is 6. Convert -\frac{5}{6} and \frac{3}{2} to fractions with denominator 6.

$$20x-\frac{5}{6}-\frac{9}{6}=6x$$

Since -\frac{5}{6} and \frac{9}{6} have the same denominator, subtract them by subtracting their numerators.

$$20x+\frac{-5-9}{6}=6x$$

Subtract 9 from -5 to get -14.

$$20x+\frac{-14}{6}=6x$$

Reduce the fraction \frac{-14}{6} to lowest terms by extracting and canceling out 2.

$$20x-\frac{7}{3}=6x$$

Subtract 6x from both sides.

$$20x-\frac{7}{3}-6x=0$$

Combine 20x and -6x to get 14x.

$$14x-\frac{7}{3}=0$$

Add \frac{7}{3} to both sides. Anything plus zero gives itself.

$$14x=\frac{7}{3}$$

Divide both sides by 14.

$$x=\frac{\frac{7}{3}}{14}$$

Express \frac{\frac{7}{3}}{14} as a single fraction.

$$x=\frac{7}{3\times 14}$$

Multiply 3 and 14 to get 42.

$$x=\frac{7}{42}$$

Reduce the fraction \frac{7}{42} to lowest terms by extracting and canceling out 7.

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