6m-3(m+2)=-(2m+7)+m

Solution for 6m-3(m+2)=-(2m+7)+m equation:

Simplifying
6m + -3(m + 2) = -1(2m + 7) + m

Reorder the terms:
6m + -3(2 + m) = -1(2m + 7) + m
6m + (2 * -3 + m * -3) = -1(2m + 7) + m
6m + (-6 + -3m) = -1(2m + 7) + m

Reorder the terms:
-6 + 6m + -3m = -1(2m + 7) + m

Combine like terms: 6m + -3m = 3m
-6 + 3m = -1(2m + 7) + m

Reorder the terms:
-6 + 3m = -1(7 + 2m) + m
-6 + 3m = (7 * -1 + 2m * -1) + m
-6 + 3m = (-7 + -2m) + m

Combine like terms: -2m + m = -1m
-6 + 3m = -7 + -1m

Solving
-6 + 3m = -7 + -1m

Solving for variable 'm'.

Move all terms containing m to the left, all other terms to the right.

Add 'm' to each side of the equation.
-6 + 3m + m = -7 + -1m + m

Combine like terms: 3m + m = 4m
-6 + 4m = -7 + -1m + m

Combine like terms: -1m + m = 0
-6 + 4m = -7 + 0
-6 + 4m = -7

Add '6' to each side of the equation.
-6 + 6 + 4m = -7 + 6

Combine like terms: -6 + 6 = 0
0 + 4m = -7 + 6
4m = -7 + 6

Combine like terms: -7 + 6 = -1
4m = -1

Divide each side by '4'.
m = -0.25

Simplifying
m = -0.25