2(m+3)-4(2m+1)=m-3(2-m)

Solution for 2(m+3)-4(2m+1)=m-3(2-m) equation:

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

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

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

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

Combine like terms: 6 + -4 = 2
2 + 2m + -8m = m + -3(2 + -1m)

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

Reorder the terms:
2 + -6m = -6 + m + 3m

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

Solving
2 + -6m = -6 + 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.
2 + -6m + -4m = -6 + 4m + -4m

Combine like terms: -6m + -4m = -10m
2 + -10m = -6 + 4m + -4m

Combine like terms: 4m + -4m = 0
2 + -10m = -6 + 0
2 + -10m = -6

Add '-2' to each side of the equation.
2 + -2 + -10m = -6 + -2

Combine like terms: 2 + -2 = 0
0 + -10m = -6 + -2
-10m = -6 + -2

Combine like terms: -6 + -2 = -8
-10m = -8

Divide each side by '-10'.
m = 0.8

Simplifying
m = 0.8