0.5(3m+5)+1.5(2m-1)=5.5

Solution for 0.5(3m+5)+1.5(2m-1)=5.5 equation:

Simplifying
0.5(3m + 5) + 1.5(2m + -1) = 5.5

Reorder the terms:
0.5(5 + 3m) + 1.5(2m + -1) = 5.5
(5 * 0.5 + 3m * 0.5) + 1.5(2m + -1) = 5.5
(2.5 + 1.5m) + 1.5(2m + -1) = 5.5

Reorder the terms:
2.5 + 1.5m + 1.5(-1 + 2m) = 5.5
2.5 + 1.5m + (-1 * 1.5 + 2m * 1.5) = 5.5
2.5 + 1.5m + (-1.5 + 3m) = 5.5

Reorder the terms:
2.5 + -1.5 + 1.5m + 3m = 5.5

Combine like terms: 2.5 + -1.5 = 1
1 + 1.5m + 3m = 5.5

Combine like terms: 1.5m + 3m = 4.5m
1 + 4.5m = 5.5

Solving
1 + 4.5m = 5.5

Solving for variable 'm'.

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

Add '-1' to each side of the equation.
1 + -1 + 4.5m = 5.5 + -1

Combine like terms: 1 + -1 = 0
0 + 4.5m = 5.5 + -1
4.5m = 5.5 + -1

Combine like terms: 5.5 + -1 = 4.5
4.5m = 4.5

Divide each side by '4.5'.
m = 1

Simplifying
m = 1