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 = -14
-14 + 3m = 2(m + 1) + -9

Reorder the terms:
-14 + 3m = 2(1 + m) + -9
-14 + 3m = (1 * 2 + m * 2) + -9
-14 + 3m = (2 + 2m) + -9

Reorder the terms:
-14 + 3m = 2 + -9 + 2m

Combine like terms: 2 + -9 = -7
-14 + 3m = -7 + 2m

Solving
-14 + 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.
-14 + 3m + -2m = -7 + 2m + -2m

Combine like terms: 3m + -2m = 1m
-14 + 1m = -7 + 2m + -2m

Combine like terms: 2m + -2m = 0
-14 + 1m = -7 + 0
-14 + 1m = -7

Add '14' to each side of the equation.
-14 + 14 + 1m = -7 + 14

Combine like terms: -14 + 14 = 0
0 + 1m = -7 + 14
1m = -7 + 14

Combine like terms: -7 + 14 = 7
1m = 7

Divide each side by '1'.
m = 7

Simplifying
m = 7

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