3(m+5)+1=2(m+1)-9

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Solution for 3(m+5)+1=2(m+1)-9 equation: 


Simplifying
3(m + 5) + 1 = 2(m + 1) + -9

Reorder the terms:
3(5 + m) + 1 = 2(m + 1) + -9
(5 * 3 + m * 3) + 1 = 2(m + 1) + -9
(15 + 3m) + 1 = 2(m + 1) + -9

Reorder the terms:
15 + 1 + 3m = 2(m + 1) + -9

Combine like terms: 15 + 1 = 16
16 + 3m = 2(m + 1) + -9

Reorder the terms:
16 + 3m = 2(1 + m) + -9
16 + 3m = (1 * 2 + m * 2) + -9
16 + 3m = (2 + 2m) + -9

Reorder the terms:
16 + 3m = 2 + -9 + 2m

Combine like terms: 2 + -9 = -7
16 + 3m = -7 + 2m

Solving
16 + 3m = -7 + 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.
16 + 3m + -2m = -7 + 2m + -2m

Combine like terms: 3m + -2m = 1m
16 + 1m = -7 + 2m + -2m

Combine like terms: 2m + -2m = 0
16 + 1m = -7 + 0
16 + 1m = -7

Add '-16' to each side of the equation.
16 + -16 + 1m = -7 + -16

Combine like terms: 16 + -16 = 0
0 + 1m = -7 + -16
1m = -7 + -16

Combine like terms: -7 + -16 = -23
1m = -23

Divide each side by '1'.
m = -23

Simplifying
m = -23

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