Solve 5/6x-1/2=2

$$\frac { 5 } { 6 } x - \frac { 1 } { 2 } = 2$$

Solve for x

$$x=3$$

Steps for Solving Linear Equation

Add \frac{1}{2} to both sides.

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

Convert 2 to fraction \frac{4}{2}.

$$\frac{5}{6}x=\frac{4}{2}+\frac{1}{2}$$

Since \frac{4}{2} and \frac{1}{2} have the same denominator, add them by adding their numerators.

$$\frac{5}{6}x=\frac{4+1}{2}$$

Add 4 and 1 to get 5.

$$\frac{5}{6}x=\frac{5}{2}$$

Multiply both sides by \frac{6}{5}, the reciprocal of \frac{5}{6}.

$$x=\frac{5}{2}\times \frac{6}{5}$$

Multiply \frac{5}{2} times \frac{6}{5} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{5\times 6}{2\times 5}$$

Cancel out 5 in both numerator and denominator.

$$x=\frac{6}{2}$$

Divide 6 by 2 to get 3.

$$x=3$$