3+8m=3(2m-1)

Solution for 3+8m=3(2m-1) equation:

Simplifying
3 + 8m = 3(2m + -1)

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

Solving
3 + 8m = -3 + 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.
3 + 8m + -6m = -3 + 6m + -6m

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

Combine like terms: 6m + -6m = 0
3 + 2m = -3 + 0
3 + 2m = -3

Add '-3' to each side of the equation.
3 + -3 + 2m = -3 + -3

Combine like terms: 3 + -3 = 0
0 + 2m = -3 + -3
2m = -3 + -3

Combine like terms: -3 + -3 = -6
2m = -6

Divide each side by '2'.
m = -3

Simplifying
m = -3