2(m+5)+10=5(m+2)-20

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


Simplifying
2(m + 5) + 10 = 5(m + 2) + -20

Reorder the terms:
2(5 + m) + 10 = 5(m + 2) + -20
(5 * 2 + m * 2) + 10 = 5(m + 2) + -20
(10 + 2m) + 10 = 5(m + 2) + -20

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

Combine like terms: 10 + 10 = 20
20 + 2m = 5(m + 2) + -20

Reorder the terms:
20 + 2m = 5(2 + m) + -20
20 + 2m = (2 * 5 + m * 5) + -20
20 + 2m = (10 + 5m) + -20

Reorder the terms:
20 + 2m = 10 + -20 + 5m

Combine like terms: 10 + -20 = -10
20 + 2m = -10 + 5m

Solving
20 + 2m = -10 + 5m

Solving for variable 'm'.

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

Add '-5m' to each side of the equation.
20 + 2m + -5m = -10 + 5m + -5m

Combine like terms: 2m + -5m = -3m
20 + -3m = -10 + 5m + -5m

Combine like terms: 5m + -5m = 0
20 + -3m = -10 + 0
20 + -3m = -10

Add '-20' to each side of the equation.
20 + -20 + -3m = -10 + -20

Combine like terms: 20 + -20 = 0
0 + -3m = -10 + -20
-3m = -10 + -20

Combine like terms: -10 + -20 = -30
-3m = -30

Divide each side by '-3'.
m = 10

Simplifying
m = 10

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