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

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

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

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

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

Reorder the terms:
6 + 2m = -6m + 4(3 + m)
6 + 2m = -6m + (3 * 4 + m * 4)
6 + 2m = -6m + (12 + 4m)

Reorder the terms:
6 + 2m = 12 + -6m + 4m

Combine like terms: -6m + 4m = -2m
6 + 2m = 12 + -2m

Solving
6 + 2m = 12 + -2m

Solving for variable 'm'.

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

Add '2m' to each side of the equation.
6 + 2m + 2m = 12 + -2m + 2m

Combine like terms: 2m + 2m = 4m
6 + 4m = 12 + -2m + 2m

Combine like terms: -2m + 2m = 0
6 + 4m = 12 + 0
6 + 4m = 12

Add '-6' to each side of the equation.
6 + -6 + 4m = 12 + -6

Combine like terms: 6 + -6 = 0
0 + 4m = 12 + -6
4m = 12 + -6

Combine like terms: 12 + -6 = 6
4m = 6

Divide each side by '4'.
m = 1.5

Simplifying
m = 1.5