5m+9=3(m+5)+17

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Solution for 5m+9=3(m+5)+17 equation:


Simplifying
5m + 9 = 3(m + 5) + 17

Reorder the terms:
9 + 5m = 3(m + 5) + 17

Reorder the terms:
9 + 5m = 3(5 + m) + 17
9 + 5m = (5 * 3 + m * 3) + 17
9 + 5m = (15 + 3m) + 17

Reorder the terms:
9 + 5m = 15 + 17 + 3m

Combine like terms: 15 + 17 = 32
9 + 5m = 32 + 3m

Solving
9 + 5m = 32 + 3m

Solving for variable 'm'.

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

Add '-3m' to each side of the equation.
9 + 5m + -3m = 32 + 3m + -3m

Combine like terms: 5m + -3m = 2m
9 + 2m = 32 + 3m + -3m

Combine like terms: 3m + -3m = 0
9 + 2m = 32 + 0
9 + 2m = 32

Add '-9' to each side of the equation.
9 + -9 + 2m = 32 + -9

Combine like terms: 9 + -9 = 0
0 + 2m = 32 + -9
2m = 32 + -9

Combine like terms: 32 + -9 = 23
2m = 23

Divide each side by '2'.
m = 11.5

Simplifying
m = 11.5

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