2(m+1.5)=1.5(2m+3)

Solution for 2(m+1.5)=1.5(2m+3) equation:

Simplifying
2(m + 1.5) = 1.5(2m + 3)

Reorder the terms:
2(1.5 + m) = 1.5(2m + 3)
(1.5 * 2 + m * 2) = 1.5(2m + 3)
(3 + 2m) = 1.5(2m + 3)

Reorder the terms:
3 + 2m = 1.5(3 + 2m)
3 + 2m = (3 * 1.5 + 2m * 1.5)
3 + 2m = (4.5 + 3m)

Solving
3 + 2m = 4.5 + 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.
3 + 2m + -3m = 4.5 + 3m + -3m

Combine like terms: 2m + -3m = -1m
3 + -1m = 4.5 + 3m + -3m

Combine like terms: 3m + -3m = 0
3 + -1m = 4.5 + 0
3 + -1m = 4.5

Add '-3' to each side of the equation.
3 + -3 + -1m = 4.5 + -3

Combine like terms: 3 + -3 = 0
0 + -1m = 4.5 + -3
-1m = 4.5 + -3

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

Divide each side by '-1'.
m = -1.5

Simplifying
m = -1.5