5(m+2)=2m-9

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Solution for 5(m+2)=2m-9 equation:


Simplifying
5(m + 2) = 2m + -9

Reorder the terms:
5(2 + m) = 2m + -9
(2 * 5 + m * 5) = 2m + -9
(10 + 5m) = 2m + -9

Reorder the terms:
10 + 5m = -9 + 2m

Solving
10 + 5m = -9 + 2m

Solving for variable 'm'.

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

Add '-2m' to each side of the equation.
10 + 5m + -2m = -9 + 2m + -2m

Combine like terms: 5m + -2m = 3m
10 + 3m = -9 + 2m + -2m

Combine like terms: 2m + -2m = 0
10 + 3m = -9 + 0
10 + 3m = -9

Add '-10' to each side of the equation.
10 + -10 + 3m = -9 + -10

Combine like terms: 10 + -10 = 0
0 + 3m = -9 + -10
3m = -9 + -10

Combine like terms: -9 + -10 = -19
3m = -19

Divide each side by '3'.
m = -6.333333333

Simplifying
m = -6.333333333

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