12m+-5m+2+m=6(m+1)

Solution for 12m+-5m+2+m=6(m+1) equation:

Simplifying
12m + -5m + 2 + m = 6(m + 1)

Reorder the terms:
2 + 12m + -5m + m = 6(m + 1)

Combine like terms: 12m + -5m = 7m
2 + 7m + m = 6(m + 1)

Combine like terms: 7m + m = 8m
2 + 8m = 6(m + 1)

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

Solving
2 + 8m = 6 + 6m

Solving for variable 'm'.

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

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

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

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

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

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

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

Divide each side by '2'.
m = 2

Simplifying
m = 2