3(0.5m+2)=2(m-1)

Solution for 3(0.5m+2)=2(m-1) equation:

Simplifying
3(0.5m + 2) = 2(m + -1)

Reorder the terms:
3(2 + 0.5m) = 2(m + -1)
(2 * 3 + 0.5m * 3) = 2(m + -1)
(6 + 1.5m) = 2(m + -1)

Reorder the terms:
6 + 1.5m = 2(-1 + m)
6 + 1.5m = (-1 * 2 + m * 2)
6 + 1.5m = (-2 + 2m)

Solving
6 + 1.5m = -2 + 2m

Solving for variable 'm'.

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

Add '-2m' to each side of the equation.
6 + 1.5m + -2m = -2 + 2m + -2m

Combine like terms: 1.5m + -2m = -0.5m
6 + -0.5m = -2 + 2m + -2m

Combine like terms: 2m + -2m = 0
6 + -0.5m = -2 + 0
6 + -0.5m = -2

Add '-6' to each side of the equation.
6 + -6 + -0.5m = -2 + -6

Combine like terms: 6 + -6 = 0
0 + -0.5m = -2 + -6
-0.5m = -2 + -6

Combine like terms: -2 + -6 = -8
-0.5m = -8

Divide each side by '-0.5'.
m = 16

Simplifying
m = 16