Solve x-(m+5)+6(2m-1)=-2

$$x - ( m + 5 ) + 6 ( 2 m - 1 ) = - 2$$

Solve for m

$$m=\frac{9-x}{11}$$

Steps for Solving Linear Equation

To find the opposite of m+5, find the opposite of each term.

$$x-m-5+6\left(2m-1\right)=-2$$

Use the distributive property to multiply 6 by 2m-1.

$$x-m-5+12m-6=-2$$

Combine -m and 12m to get 11m.

$$x+11m-5-6=-2$$

Subtract 6 from -5 to get -11.

$$x+11m-11=-2$$

Subtract x from both sides.

$$11m-11=-2-x$$

Add 11 to both sides.

$$11m=-2-x+11$$

Add -2 and 11 to get 9.

$$11m=9-x$$

Divide both sides by 11.

$$\frac{11m}{11}=\frac{9-x}{11}$$

Dividing by 11 undoes the multiplication by 11.

$$m=\frac{9-x}{11}$$

Solve for x

$$x=9-11m$$

Solution Steps

To find the opposite of m+5, find the opposite of each term.

$$x-m-5+6\left(2m-1\right)=-2$$

Use the distributive property to multiply 6 by 2m-1.

$$x-m-5+12m-6=-2$$

Combine -m and 12m to get 11m.

$$x+11m-5-6=-2$$

Subtract 6 from -5 to get -11.

$$x+11m-11=-2$$

Subtract 11m from both sides.

$$x-11=-2-11m$$

Add 11 to both sides.

$$x=-2-11m+11$$

Add -2 and 11 to get 9.

$$x=9-11m$$