3(m+3)+5(m+1)+-6m=50

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Solution for 3(m+3)+5(m+1)+-6m=50 equation: 


Simplifying
3(m + 3) + 5(m + 1) + -6m = 50

Reorder the terms:
3(3 + m) + 5(m + 1) + -6m = 50
(3 * 3 + m * 3) + 5(m + 1) + -6m = 50
(9 + 3m) + 5(m + 1) + -6m = 50

Reorder the terms:
9 + 3m + 5(1 + m) + -6m = 50
9 + 3m + (1 * 5 + m * 5) + -6m = 50
9 + 3m + (5 + 5m) + -6m = 50

Reorder the terms:
9 + 5 + 3m + 5m + -6m = 50

Combine like terms: 9 + 5 = 14
14 + 3m + 5m + -6m = 50

Combine like terms: 3m + 5m = 8m
14 + 8m + -6m = 50

Combine like terms: 8m + -6m = 2m
14 + 2m = 50

Solving
14 + 2m = 50

Solving for variable 'm'.

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

Add '-14' to each side of the equation.
14 + -14 + 2m = 50 + -14

Combine like terms: 14 + -14 = 0
0 + 2m = 50 + -14
2m = 50 + -14

Combine like terms: 50 + -14 = 36
2m = 36

Divide each side by '2'.
m = 18

Simplifying
m = 18

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