Solve 3/4x+2/3=5/6x

$$\frac { 3 } { 4 } x + \frac { 2 } { 3 } = \frac { 5 } { 6 } x$$

Solve for x

$$x=8$$

Steps for Solving Linear Equation

Subtract \frac{5}{6}x from both sides.

$$\frac{3}{4}x+\frac{2}{3}-\frac{5}{6}x=0$$

Combine \frac{3}{4}x and -\frac{5}{6}x to get -\frac{1}{12}x.

$$-\frac{1}{12}x+\frac{2}{3}=0$$

Subtract \frac{2}{3} from both sides. Anything subtracted from zero gives its negation.

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

Multiply both sides by -12, the reciprocal of -\frac{1}{12}.

$$x=-\frac{2}{3}\left(-12\right)$$

Express -\frac{2}{3}\left(-12\right) as a single fraction.

$$x=\frac{-2\left(-12\right)}{3}$$

Multiply -2 and -12 to get 24.

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

Divide 24 by 3 to get 8.

$$x=8$$