2(2m+3)+9=5m+8

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Solution for 2(2m+3)+9=5m+8 equation: 


Simplifying
2(2m + 3) + 9 = 5m + 8

Reorder the terms:
2(3 + 2m) + 9 = 5m + 8
(3 * 2 + 2m * 2) + 9 = 5m + 8
(6 + 4m) + 9 = 5m + 8

Reorder the terms:
6 + 9 + 4m = 5m + 8

Combine like terms: 6 + 9 = 15
15 + 4m = 5m + 8

Reorder the terms:
15 + 4m = 8 + 5m

Solving
15 + 4m = 8 + 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.
15 + 4m + -5m = 8 + 5m + -5m

Combine like terms: 4m + -5m = -1m
15 + -1m = 8 + 5m + -5m

Combine like terms: 5m + -5m = 0
15 + -1m = 8 + 0
15 + -1m = 8

Add '-15' to each side of the equation.
15 + -15 + -1m = 8 + -15

Combine like terms: 15 + -15 = 0
0 + -1m = 8 + -15
-1m = 8 + -15

Combine like terms: 8 + -15 = -7
-1m = -7

Divide each side by '-1'.
m = 7

Simplifying
m = 7

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