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

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

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

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

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

Solving
2 + 8m = 12 + 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 = 12 + 6m + -6m

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

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

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

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

Combine like terms: 12 + -2 = 10
2m = 10

Divide each side by '2'.
m = 5

Simplifying
m = 5