2(m+2)=5m-2

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


Simplifying
2(m + 2) = 5m + -2

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

Reorder the terms:
4 + 2m = -2 + 5m

Solving
4 + 2m = -2 + 5m

Solving for variable 'm'.

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

Add '-5m' to each side of the equation.
4 + 2m + -5m = -2 + 5m + -5m

Combine like terms: 2m + -5m = -3m
4 + -3m = -2 + 5m + -5m

Combine like terms: 5m + -5m = 0
4 + -3m = -2 + 0
4 + -3m = -2

Add '-4' to each side of the equation.
4 + -4 + -3m = -2 + -4

Combine like terms: 4 + -4 = 0
0 + -3m = -2 + -4
-3m = -2 + -4

Combine like terms: -2 + -4 = -6
-3m = -6

Divide each side by '-3'.
m = 2

Simplifying
m = 2

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