Solve 5/6x+1/2=13/12x

$$\frac{ 5 }{ 6 } x+ \frac{ 1 }{ 2 } = \frac{ 13 }{ 12 } x$$

Solve for x

$$x=2$$

Steps for Solving Linear Equation

Subtract \frac{13}{12}x from both sides.

$$\frac{5}{6}x+\frac{1}{2}-\frac{13}{12}x=0$$

Combine \frac{5}{6}x and -\frac{13}{12}x to get -\frac{1}{4}x.

$$-\frac{1}{4}x+\frac{1}{2}=0$$

Subtract \frac{1}{2} from both sides. Anything subtracted from zero gives its negation.

$$-\frac{1}{4}x=-\frac{1}{2}$$

Multiply both sides by -4, the reciprocal of -\frac{1}{4}.

$$x=-\frac{1}{2}\left(-4\right)$$

Express -\frac{1}{2}\left(-4\right) as a single fraction.

$$x=\frac{-\left(-4\right)}{2}$$

Multiply -1 and -4 to get 4.

$$x=\frac{4}{2}$$

Divide 4 by 2 to get 2.

$$x=2$$