2(4m-6)-5(2m+3(m+1))=

Solution for 2(4m-6)-5(2m+3(m+1))= equation:

Simplifying
2(4m + -6) + -5(2m + 3(m + 1)) = 0

Reorder the terms:
2(-6 + 4m) + -5(2m + 3(m + 1)) = 0
(-6 * 2 + 4m * 2) + -5(2m + 3(m + 1)) = 0
(-12 + 8m) + -5(2m + 3(m + 1)) = 0

Reorder the terms:
-12 + 8m + -5(2m + 3(1 + m)) = 0
-12 + 8m + -5(2m + (1 * 3 + m * 3)) = 0
-12 + 8m + -5(2m + (3 + 3m)) = 0

Reorder the terms:
-12 + 8m + -5(3 + 2m + 3m) = 0

Combine like terms: 2m + 3m = 5m
-12 + 8m + -5(3 + 5m) = 0
-12 + 8m + (3 * -5 + 5m * -5) = 0
-12 + 8m + (-15 + -25m) = 0

Reorder the terms:
-12 + -15 + 8m + -25m = 0

Combine like terms: -12 + -15 = -27
-27 + 8m + -25m = 0

Combine like terms: 8m + -25m = -17m
-27 + -17m = 0

Solving
-27 + -17m = 0

Solving for variable 'm'.

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

Add '27' to each side of the equation.
-27 + 27 + -17m = 0 + 27

Combine like terms: -27 + 27 = 0
0 + -17m = 0 + 27
-17m = 0 + 27

Combine like terms: 0 + 27 = 27
-17m = 27

Divide each side by '-17'.
m = -1.588235294

Simplifying
m = -1.588235294