3(m+2)=4m-(8m-6)

Solution for 3(m+2)=4m-(8m-6) equation:

Simplifying
3(m + 2) = 4m + -1(8m + -6)

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

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

Reorder the terms:
6 + 3m = 6 + 4m + -8m

Combine like terms: 4m + -8m = -4m
6 + 3m = 6 + -4m

Add '-6' to each side of the equation.
6 + -6 + 3m = 6 + -6 + -4m

Combine like terms: 6 + -6 = 0
0 + 3m = 6 + -6 + -4m
3m = 6 + -6 + -4m

Combine like terms: 6 + -6 = 0
3m = 0 + -4m
3m = -4m

Solving
3m = -4m

Solving for variable 'm'.

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

Add '4m' to each side of the equation.
3m + 4m = -4m + 4m

Combine like terms: 3m + 4m = 7m
7m = -4m + 4m

Combine like terms: -4m + 4m = 0
7m = 0

Divide each side by '7'.
m = 0

Simplifying
m = 0