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

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

Simplifying
4m + -3(m + -2) = m + 2(m + 4)

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

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

Combine like terms: 4m + -3m = 1m
6 + 1m = m + 2(m + 4)

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

Reorder the terms:
6 + 1m = 8 + m + 2m

Combine like terms: m + 2m = 3m
6 + 1m = 8 + 3m

Solving
6 + 1m = 8 + 3m

Solving for variable 'm'.

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

Add '-3m' to each side of the equation.
6 + 1m + -3m = 8 + 3m + -3m

Combine like terms: 1m + -3m = -2m
6 + -2m = 8 + 3m + -3m

Combine like terms: 3m + -3m = 0
6 + -2m = 8 + 0
6 + -2m = 8

Add '-6' to each side of the equation.
6 + -6 + -2m = 8 + -6

Combine like terms: 6 + -6 = 0
0 + -2m = 8 + -6
-2m = 8 + -6

Combine like terms: 8 + -6 = 2
-2m = 2

Divide each side by '-2'.
m = -1

Simplifying
m = -1