Solve 1/6x+6=4/6x+12

$$\frac { 1 } { 6 } x + 6 = \frac { 4 } { 6 } x + 12$$

Solve for x

$$x=-12$$

Steps for Solving Linear Equation

Reduce the fraction \frac{4}{6} to lowest terms by extracting and canceling out 2.

$$\frac{1}{6}x+6=\frac{2}{3}x+12$$

Subtract \frac{2}{3}x from both sides.

$$\frac{1}{6}x+6-\frac{2}{3}x=12$$

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

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

Subtract 6 from both sides.

$$-\frac{1}{2}x=12-6$$

Subtract 6 from 12 to get 6.

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

Multiply both sides by -2, the reciprocal of -\frac{1}{2}.

$$x=6\left(-2\right)$$

Multiply 6 and -2 to get -12.

$$x=-12$$