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

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

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

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

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

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

Reorder the terms:
-6 + -2m = 4 + 2 + -8m

Combine like terms: 4 + 2 = 6
-6 + -2m = 6 + -8m

Solving
-6 + -2m = 6 + -8m

Solving for variable 'm'.

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

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

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

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

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

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

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

Divide each side by '6'.
m = 2

Simplifying
m = 2