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

Solution for 6+2(3m-2)=4(1+m) equation:

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

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

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

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

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

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

Add '-2' to each side of the equation.
2 + -2 + 2m = 4 + -2

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

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

Divide each side by '2'.
m = 1

Simplifying
m = 1