15+2(m+5)=5(m+2)

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Solution for 15+2(m+5)=5(m+2) equation:


Simplifying
15 + 2(m + 5) = 5(m + 2)

Reorder the terms:
15 + 2(5 + m) = 5(m + 2)
15 + (5 * 2 + m * 2) = 5(m + 2)
15 + (10 + 2m) = 5(m + 2)

Combine like terms: 15 + 10 = 25
25 + 2m = 5(m + 2)

Reorder the terms:
25 + 2m = 5(2 + m)
25 + 2m = (2 * 5 + m * 5)
25 + 2m = (10 + 5m)

Solving
25 + 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.
25 + 2m + -5m = 10 + 5m + -5m

Combine like terms: 2m + -5m = -3m
25 + -3m = 10 + 5m + -5m

Combine like terms: 5m + -5m = 0
25 + -3m = 10 + 0
25 + -3m = 10

Add '-25' to each side of the equation.
25 + -25 + -3m = 10 + -25

Combine like terms: 25 + -25 = 0
0 + -3m = 10 + -25
-3m = 10 + -25

Combine like terms: 10 + -25 = -15
-3m = -15

Divide each side by '-3'.
m = 5

Simplifying
m = 5

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