2(m+2.5)=4(m-.5)

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Solution for 2(m+2.5)=4(m-.5) equation:


Simplifying
2(m + 2.5) = 4(m + -0.5)

Reorder the terms:
2(2.5 + m) = 4(m + -0.5)
(2.5 * 2 + m * 2) = 4(m + -0.5)
(5 + 2m) = 4(m + -0.5)

Reorder the terms:
5 + 2m = 4(-0.5 + m)
5 + 2m = (-0.5 * 4 + m * 4)
5 + 2m = (-2 + 4m)

Solving
5 + 2m = -2 + 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.
5 + 2m + -4m = -2 + 4m + -4m

Combine like terms: 2m + -4m = -2m
5 + -2m = -2 + 4m + -4m

Combine like terms: 4m + -4m = 0
5 + -2m = -2 + 0
5 + -2m = -2

Add '-5' to each side of the equation.
5 + -5 + -2m = -2 + -5

Combine like terms: 5 + -5 = 0
0 + -2m = -2 + -5
-2m = -2 + -5

Combine like terms: -2 + -5 = -7
-2m = -7

Divide each side by '-2'.
m = 3.5

Simplifying
m = 3.5

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