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

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

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

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

Reorder the terms:
-6 + 5m = -12 + -1m + 8m

Combine like terms: -1m + 8m = 7m
-6 + 5m = -12 + 7m

Solving
-6 + 5m = -12 + 7m

Solving for variable 'm'.

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

Add '-7m' to each side of the equation.
-6 + 5m + -7m = -12 + 7m + -7m

Combine like terms: 5m + -7m = -2m
-6 + -2m = -12 + 7m + -7m

Combine like terms: 7m + -7m = 0
-6 + -2m = -12 + 0
-6 + -2m = -12

Add '6' to each side of the equation.
-6 + 6 + -2m = -12 + 6

Combine like terms: -6 + 6 = 0
0 + -2m = -12 + 6
-2m = -12 + 6

Combine like terms: -12 + 6 = -6
-2m = -6

Divide each side by '-2'.
m = 3

Simplifying
m = 3