5(6m+4-2m)3m=7m+6-3(4m+2)

Solution for 5(6m+4-2m)3m=7m+6-3(4m+2) equation:

Simplifying
5(6m + 4 + -2m) * 3m = 7m + 6 + -3(4m + 2)

Reorder the terms:
5(4 + 6m + -2m) * 3m = 7m + 6 + -3(4m + 2)

Combine like terms: 6m + -2m = 4m
5(4 + 4m) * 3m = 7m + 6 + -3(4m + 2)

Reorder the terms for easier multiplication:
5 * 3m(4 + 4m) = 7m + 6 + -3(4m + 2)

Multiply 5 * 3
15m(4 + 4m) = 7m + 6 + -3(4m + 2)
(4 * 15m + 4m * 15m) = 7m + 6 + -3(4m + 2)
(60m + 60m2) = 7m + 6 + -3(4m + 2)

Reorder the terms:
60m + 60m2 = 7m + 6 + -3(2 + 4m)
60m + 60m2 = 7m + 6 + (2 * -3 + 4m * -3)
60m + 60m2 = 7m + 6 + (-6 + -12m)

Reorder the terms:
60m + 60m2 = 6 + -6 + 7m + -12m

Combine like terms: 6 + -6 = 0
60m + 60m2 = 0 + 7m + -12m
60m + 60m2 = 7m + -12m

Combine like terms: 7m + -12m = -5m
60m + 60m2 = -5m

Solving
60m + 60m2 = -5m

Solving for variable 'm'.

Reorder the terms:
60m + 5m + 60m2 = -5m + 5m

Combine like terms: 60m + 5m = 65m
65m + 60m2 = -5m + 5m

Combine like terms: -5m + 5m = 0
65m + 60m2 = 0

Factor out the Greatest Common Factor (GCF), '5m'.
5m(13 + 12m) = 0

Ignore the factor 5.
Subproblem 1
Set the factor 'm' equal to zero and attempt to solve:

Simplifying
m = 0

Solving
m = 0

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

Simplifying
m = 0
Subproblem 2
Set the factor '(13 + 12m)' equal to zero and attempt to solve:

Simplifying
13 + 12m = 0

Solving
13 + 12m = 0

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

Add '-13' to each side of the equation.
13 + -13 + 12m = 0 + -13

Combine like terms: 13 + -13 = 0
0 + 12m = 0 + -13
12m = 0 + -13

Combine like terms: 0 + -13 = -13
12m = -13

Divide each side by '12'.
m = -1.083333333

Simplifying
m = -1.083333333
Solution
m = {0, -1.083333333}