2(2m-1)+6(m+2)=8m

Solution for 2(2m-1)+6(m+2)=8m equation:

Simplifying
2(2m + -1) + 6(m + 2) = 8m

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

Reorder the terms:
-2 + 4m + 6(2 + m) = 8m
-2 + 4m + (2 * 6 + m * 6) = 8m
-2 + 4m + (12 + 6m) = 8m

Reorder the terms:
-2 + 12 + 4m + 6m = 8m

Combine like terms: -2 + 12 = 10
10 + 4m + 6m = 8m

Combine like terms: 4m + 6m = 10m
10 + 10m = 8m

Solving
10 + 10m = 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.
10 + 10m + -8m = 8m + -8m

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

Combine like terms: 8m + -8m = 0
10 + 2m = 0

Add '-10' to each side of the equation.
10 + -10 + 2m = 0 + -10

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

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

Divide each side by '2'.
m = -5

Simplifying
m = -5