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

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

Simplifying
3m + -1(2m + 6) = 5(m + 6)

Reorder the terms:
3m + -1(6 + 2m) = 5(m + 6)
3m + (6 * -1 + 2m * -1) = 5(m + 6)
3m + (-6 + -2m) = 5(m + 6)

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

Combine like terms: 3m + -2m = 1m
-6 + 1m = 5(m + 6)

Reorder the terms:
-6 + 1m = 5(6 + m)
-6 + 1m = (6 * 5 + m * 5)
-6 + 1m = (30 + 5m)

Solving
-6 + 1m = 30 + 5m

Solving for variable 'm'.

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

Add '-5m' to each side of the equation.
-6 + 1m + -5m = 30 + 5m + -5m

Combine like terms: 1m + -5m = -4m
-6 + -4m = 30 + 5m + -5m

Combine like terms: 5m + -5m = 0
-6 + -4m = 30 + 0
-6 + -4m = 30

Add '6' to each side of the equation.
-6 + 6 + -4m = 30 + 6

Combine like terms: -6 + 6 = 0
0 + -4m = 30 + 6
-4m = 30 + 6

Combine like terms: 30 + 6 = 36
-4m = 36

Divide each side by '-4'.
m = -9

Simplifying
m = -9