Solve 1/3x-2=x-6

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

Solve for x

$$x=6$$

Steps for Solving Linear Equation

Subtract x from both sides.

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

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

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

Add 2 to both sides.

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

Add -6 and 2 to get -4.

$$-\frac{2}{3}x=-4$$

Multiply both sides by -\frac{3}{2}, the reciprocal of -\frac{2}{3}.

$$x=-4\left(-\frac{3}{2}\right)$$

Express -4\left(-\frac{3}{2}\right) as a single fraction.

$$x=\frac{-4\left(-3\right)}{2}$$

Multiply -4 and -3 to get 12.

$$x=\frac{12}{2}$$

Divide 12 by 2 to get 6.

$$x=6$$