12-(4m-8)=3(2m+4)-7

Solution for 12-(4m-8)=3(2m+4)-7 equation:

Simplifying
12 + -1(4m + -8) = 3(2m + 4) + -7

Reorder the terms:
12 + -1(-8 + 4m) = 3(2m + 4) + -7
12 + (-8 * -1 + 4m * -1) = 3(2m + 4) + -7
12 + (8 + -4m) = 3(2m + 4) + -7

Combine like terms: 12 + 8 = 20
20 + -4m = 3(2m + 4) + -7

Reorder the terms:
20 + -4m = 3(4 + 2m) + -7
20 + -4m = (4 * 3 + 2m * 3) + -7
20 + -4m = (12 + 6m) + -7

Reorder the terms:
20 + -4m = 12 + -7 + 6m

Combine like terms: 12 + -7 = 5
20 + -4m = 5 + 6m

Solving
20 + -4m = 5 + 6m

Solving for variable 'm'.

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

Add '-6m' to each side of the equation.
20 + -4m + -6m = 5 + 6m + -6m

Combine like terms: -4m + -6m = -10m
20 + -10m = 5 + 6m + -6m

Combine like terms: 6m + -6m = 0
20 + -10m = 5 + 0
20 + -10m = 5

Add '-20' to each side of the equation.
20 + -20 + -10m = 5 + -20

Combine like terms: 20 + -20 = 0
0 + -10m = 5 + -20
-10m = 5 + -20

Combine like terms: 5 + -20 = -15
-10m = -15

Divide each side by '-10'.
m = 1.5

Simplifying
m = 1.5