Solve 7m+2(m-12)=2(m-13)+6m+3

$$7 m + 2 ( m - 12 ) = 2 ( m - 13 ) + 6 m + 3$$

Solve for m

$$m=1$$

Steps for Solving Linear Equation

Use the distributive property to multiply 2 by m-12.

$$7m+2m-24=2\left(m-13\right)+6m+3$$

Combine 7m and 2m to get 9m.

$$9m-24=2\left(m-13\right)+6m+3$$

Use the distributive property to multiply 2 by m-13.

$$9m-24=2m-26+6m+3$$

Combine 2m and 6m to get 8m.

$$9m-24=8m-26+3$$

Add -26 and 3 to get -23.

$$9m-24=8m-23$$

Subtract 8m from both sides.

$$9m-24-8m=-23$$

Combine 9m and -8m to get m.

$$m-24=-23$$

Add 24 to both sides.

$$m=-23+24$$

Add -23 and 24 to get 1.

$$m=1$$