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

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

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

Reorder the terms:
2(-1 + 4m) + 3(m + 4) = 6m
(-1 * 2 + 4m * 2) + 3(m + 4) = 6m
(-2 + 8m) + 3(m + 4) = 6m

Reorder the terms:
-2 + 8m + 3(4 + m) = 6m
-2 + 8m + (4 * 3 + m * 3) = 6m
-2 + 8m + (12 + 3m) = 6m

Reorder the terms:
-2 + 12 + 8m + 3m = 6m

Combine like terms: -2 + 12 = 10
10 + 8m + 3m = 6m

Combine like terms: 8m + 3m = 11m
10 + 11m = 6m

Solving
10 + 11m = 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.
10 + 11m + -6m = 6m + -6m

Combine like terms: 11m + -6m = 5m
10 + 5m = 6m + -6m

Combine like terms: 6m + -6m = 0
10 + 5m = 0

Add '-10' to each side of the equation.
10 + -10 + 5m = 0 + -10

Combine like terms: 10 + -10 = 0
0 + 5m = 0 + -10
5m = 0 + -10

Combine like terms: 0 + -10 = -10
5m = -10

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

Simplifying
m = -2