2(m+1)=5(m-2)

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Solution for 2(m+1)=5(m-2) equation: 


Simplifying
2(m + 1) = 5(m + -2)

Reorder the terms:
2(1 + m) = 5(m + -2)
(1 * 2 + m * 2) = 5(m + -2)
(2 + 2m) = 5(m + -2)

Reorder the terms:
2 + 2m = 5(-2 + m)
2 + 2m = (-2 * 5 + m * 5)
2 + 2m = (-10 + 5m)

Solving
2 + 2m = -10 + 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.
2 + 2m + -5m = -10 + 5m + -5m

Combine like terms: 2m + -5m = -3m
2 + -3m = -10 + 5m + -5m

Combine like terms: 5m + -5m = 0
2 + -3m = -10 + 0
2 + -3m = -10

Add '-2' to each side of the equation.
2 + -2 + -3m = -10 + -2

Combine like terms: 2 + -2 = 0
0 + -3m = -10 + -2
-3m = -10 + -2

Combine like terms: -10 + -2 = -12
-3m = -12

Divide each side by '-3'.
m = 4

Simplifying
m = 4

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