1.25(m-2)=1.50(m-3)

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Solution for 1.25(m-2)=1.50(m-3) equation:


Simplifying
1.25(m + -2) = 1.50(m + -3)

Reorder the terms:
1.25(-2 + m) = 1.50(m + -3)
(-2 * 1.25 + m * 1.25) = 1.50(m + -3)
(-2.5 + 1.25m) = 1.50(m + -3)

Reorder the terms:
-2.5 + 1.25m = 1.50(-3 + m)
-2.5 + 1.25m = (-3 * 1.50 + m * 1.50)
-2.5 + 1.25m = (-4.5 + 1.50m)

Solving
-2.5 + 1.25m = -4.5 + 1.50m

Solving for variable 'm'.

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

Add '-1.50m' to each side of the equation.
-2.5 + 1.25m + -1.50m = -4.5 + 1.50m + -1.50m

Combine like terms: 1.25m + -1.50m = -0.25m
-2.5 + -0.25m = -4.5 + 1.50m + -1.50m

Combine like terms: 1.50m + -1.50m = 0.00
-2.5 + -0.25m = -4.5 + 0.00
-2.5 + -0.25m = -4.5

Add '2.5' to each side of the equation.
-2.5 + 2.5 + -0.25m = -4.5 + 2.5

Combine like terms: -2.5 + 2.5 = 0.0
0.0 + -0.25m = -4.5 + 2.5
-0.25m = -4.5 + 2.5

Combine like terms: -4.5 + 2.5 = -2
-0.25m = -2

Divide each side by '-0.25'.
m = 8

Simplifying
m = 8

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