0.5m+(m+4)=3(m-1)

Solution for 0.5m+(m+4)=3(m-1) equation:

Simplifying
0.5m + (m + 4) = 3(m + -1)

Reorder the terms:
0.5m + (4 + m) = 3(m + -1)

Remove parenthesis around (4 + m)
0.5m + 4 + m = 3(m + -1)

Reorder the terms:
4 + 0.5m + m = 3(m + -1)

Combine like terms: 0.5m + m = 1.5m
4 + 1.5m = 3(m + -1)

Reorder the terms:
4 + 1.5m = 3(-1 + m)
4 + 1.5m = (-1 * 3 + m * 3)
4 + 1.5m = (-3 + 3m)

Solving
4 + 1.5m = -3 + 3m

Solving for variable 'm'.

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

Add '-3m' to each side of the equation.
4 + 1.5m + -3m = -3 + 3m + -3m

Combine like terms: 1.5m + -3m = -1.5m
4 + -1.5m = -3 + 3m + -3m

Combine like terms: 3m + -3m = 0
4 + -1.5m = -3 + 0
4 + -1.5m = -3

Add '-4' to each side of the equation.
4 + -4 + -1.5m = -3 + -4

Combine like terms: 4 + -4 = 0
0 + -1.5m = -3 + -4
-1.5m = -3 + -4

Combine like terms: -3 + -4 = -7
-1.5m = -7

Divide each side by '-1.5'.
m = 4.666666667

Simplifying
m = 4.666666667