Solve m-x/3+1=1/6x-5

$$m - \frac { x } { 3 } + 1 = \frac { 1 } { 6 } x - 5$$

Solve for m

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

Steps for Solving Linear Equation

Multiply both sides of the equation by 6, the least common multiple of 3,6.

$$6m-2x+6=1x-30$$

Add 2x to both sides.

$$6m+6=1x-30+2x$$

Combine 1x and 2x to get 3x.

$$6m+6=3x-30$$

Subtract 6 from both sides.

$$6m=3x-30-6$$

Subtract 6 from -30 to get -36.

$$6m=3x-36$$

Divide both sides by 6.

$$\frac{6m}{6}=\frac{3x-36}{6}$$

Dividing by 6 undoes the multiplication by 6.

$$m=\frac{3x-36}{6}$$

Divide -36+3x by 6.

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

Solve for x

$$x=2\left(m+6\right)$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 6, the least common multiple of 3,6.

$$6m-2x+6=1x-30$$

Subtract 1x from both sides.

$$6m-2x+6-x=-30$$

Combine -2x and -x to get -3x.

$$6m-3x+6=-30$$

Subtract 6m from both sides.

$$-3x+6=-30-6m$$

Subtract 6 from both sides.

$$-3x=-30-6m-6$$

Subtract 6 from -30 to get -36.

$$-3x=-36-6m$$

The equation is in standard form.

$$-3x=-6m-36$$

Divide both sides by -3.

$$\frac{-3x}{-3}=\frac{-6m-36}{-3}$$

Dividing by -3 undoes the multiplication by -3.

$$x=\frac{-6m-36}{-3}$$

Divide -36-6m by -3.

$$x=2m+12$$