10(m+2)=5(2n+3)+5

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


Simplifying
10(m + 2) = 5(2n + 3) + 5

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

Reorder the terms:
20 + 10m = 5(3 + 2n) + 5
20 + 10m = (3 * 5 + 2n * 5) + 5
20 + 10m = (15 + 10n) + 5

Reorder the terms:
20 + 10m = 15 + 5 + 10n

Combine like terms: 15 + 5 = 20
20 + 10m = 20 + 10n

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

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

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

Solving
10m = 10n

Solving for variable 'm'.

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

Divide each side by '10'.
m = n

Simplifying
m = n

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