Solve 1/2x-2/3=1/6x-1

$$\frac { 1 } { 2 } x - \frac { 2 } { 3 } = \frac { 1 } { 6 } x - 1$$

Solve for x

$$x=-1$$

Steps for Solving Linear Equation

Subtract \frac{1}{6}x from both sides.

$$\frac{1}{2}x-\frac{2}{3}-\frac{1}{6}x=-1$$

Combine \frac{1}{2}x and -\frac{1}{6}x to get \frac{1}{3}x.

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

Add \frac{2}{3} to both sides.

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

Convert -1 to fraction -\frac{3}{3}.

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

Since -\frac{3}{3} and \frac{2}{3} have the same denominator, add them by adding their numerators.

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

Add -3 and 2 to get -1.

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

Multiply both sides by 3, the reciprocal of \frac{1}{3}.

$$x=-\frac{1}{3}\times 3$$

Cancel out 3 and 3.

$$x=-1$$