2(m+5)-3(m+3)=6

Solution for 2(m+5)-3(m+3)=6 equation:

Simplifying
2(m + 5) + -3(m + 3) = 6

Reorder the terms:
2(5 + m) + -3(m + 3) = 6
(5 * 2 + m * 2) + -3(m + 3) = 6
(10 + 2m) + -3(m + 3) = 6

Reorder the terms:
10 + 2m + -3(3 + m) = 6
10 + 2m + (3 * -3 + m * -3) = 6
10 + 2m + (-9 + -3m) = 6

Reorder the terms:
10 + -9 + 2m + -3m = 6

Combine like terms: 10 + -9 = 1
1 + 2m + -3m = 6

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

Solving
1 + -1m = 6

Solving for variable 'm'.

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

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

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

Combine like terms: 6 + -1 = 5
-1m = 5

Divide each side by '-1'.
m = -5

Simplifying
m = -5