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

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

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

Reorder the terms:
0.5(4 + m) = 3(m + 1)
(4 * 0.5 + m * 0.5) = 3(m + 1)
(2 + 0.5m) = 3(m + 1)

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

Solving
2 + 0.5m = 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.
2 + 0.5m + -3m = 3 + 3m + -3m

Combine like terms: 0.5m + -3m = -2.5m
2 + -2.5m = 3 + 3m + -3m

Combine like terms: 3m + -3m = 0
2 + -2.5m = 3 + 0
2 + -2.5m = 3

Add '-2' to each side of the equation.
2 + -2 + -2.5m = 3 + -2

Combine like terms: 2 + -2 = 0
0 + -2.5m = 3 + -2
-2.5m = 3 + -2

Combine like terms: 3 + -2 = 1
-2.5m = 1

Divide each side by '-2.5'.
m = -0.4

Simplifying
m = -0.4