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

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


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

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

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

Solving
-3 + 2m = -4.5 + 1.5m

Solving for variable 'm'.

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

Add '-1.5m' to each side of the equation.
-3 + 2m + -1.5m = -4.5 + 1.5m + -1.5m

Combine like terms: 2m + -1.5m = 0.5m
-3 + 0.5m = -4.5 + 1.5m + -1.5m

Combine like terms: 1.5m + -1.5m = 0.0
-3 + 0.5m = -4.5 + 0.0
-3 + 0.5m = -4.5

Add '3' to each side of the equation.
-3 + 3 + 0.5m = -4.5 + 3

Combine like terms: -3 + 3 = 0
0 + 0.5m = -4.5 + 3
0.5m = -4.5 + 3

Combine like terms: -4.5 + 3 = -1.5
0.5m = -1.5

Divide each side by '0.5'.
m = -3

Simplifying
m = -3

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