2(-4.5+m)+3=4(3-m)+5.5

Solution for 2(-4.5+m)+3=4(3-m)+5.5 equation:

Simplifying
2(-4.5 + m) + 3 = 4(3 + -1m) + 5.5
(-4.5 * 2 + m * 2) + 3 = 4(3 + -1m) + 5.5
(-9 + 2m) + 3 = 4(3 + -1m) + 5.5

Reorder the terms:
-9 + 3 + 2m = 4(3 + -1m) + 5.5

Combine like terms: -9 + 3 = -6
-6 + 2m = 4(3 + -1m) + 5.5
-6 + 2m = (3 * 4 + -1m * 4) + 5.5
-6 + 2m = (12 + -4m) + 5.5

Reorder the terms:
-6 + 2m = 12 + 5.5 + -4m

Combine like terms: 12 + 5.5 = 17.5
-6 + 2m = 17.5 + -4m

Solving
-6 + 2m = 17.5 + -4m

Solving for variable 'm'.

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

Add '4m' to each side of the equation.
-6 + 2m + 4m = 17.5 + -4m + 4m

Combine like terms: 2m + 4m = 6m
-6 + 6m = 17.5 + -4m + 4m

Combine like terms: -4m + 4m = 0
-6 + 6m = 17.5 + 0
-6 + 6m = 17.5

Add '6' to each side of the equation.
-6 + 6 + 6m = 17.5 + 6

Combine like terms: -6 + 6 = 0
0 + 6m = 17.5 + 6
6m = 17.5 + 6

Combine like terms: 17.5 + 6 = 23.5
6m = 23.5

Divide each side by '6'.
m = 3.916666667

Simplifying
m = 3.916666667