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

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


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

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

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

Remove parenthesis around (3 + 2m)
-4.5 + 3m = 3 + 2m

Solving
-4.5 + 3m = 3 + 2m

Solving for variable 'm'.

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

Add '-2m' to each side of the equation.
-4.5 + 3m + -2m = 3 + 2m + -2m

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

Combine like terms: 2m + -2m = 0
-4.5 + 1m = 3 + 0
-4.5 + 1m = 3

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

Combine like terms: -4.5 + 4.5 = 0.0
0.0 + 1m = 3 + 4.5
1m = 3 + 4.5

Combine like terms: 3 + 4.5 = 7.5
1m = 7.5

Divide each side by '1'.
m = 7.5

Simplifying
m = 7.5

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