5(m+6)+10=3(m+2)+20

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Solution for 5(m+6)+10=3(m+2)+20 equation:


Simplifying
5(m + 6) + 10 = 3(m + 2) + 20

Reorder the terms:
5(6 + m) + 10 = 3(m + 2) + 20
(6 * 5 + m * 5) + 10 = 3(m + 2) + 20
(30 + 5m) + 10 = 3(m + 2) + 20

Reorder the terms:
30 + 10 + 5m = 3(m + 2) + 20

Combine like terms: 30 + 10 = 40
40 + 5m = 3(m + 2) + 20

Reorder the terms:
40 + 5m = 3(2 + m) + 20
40 + 5m = (2 * 3 + m * 3) + 20
40 + 5m = (6 + 3m) + 20

Reorder the terms:
40 + 5m = 6 + 20 + 3m

Combine like terms: 6 + 20 = 26
40 + 5m = 26 + 3m

Solving
40 + 5m = 26 + 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.
40 + 5m + -3m = 26 + 3m + -3m

Combine like terms: 5m + -3m = 2m
40 + 2m = 26 + 3m + -3m

Combine like terms: 3m + -3m = 0
40 + 2m = 26 + 0
40 + 2m = 26

Add '-40' to each side of the equation.
40 + -40 + 2m = 26 + -40

Combine like terms: 40 + -40 = 0
0 + 2m = 26 + -40
2m = 26 + -40

Combine like terms: 26 + -40 = -14
2m = -14

Divide each side by '2'.
m = -7

Simplifying
m = -7

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