2(2m+5)=m+13

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Solution for 2(2m+5)=m+13 equation:


Simplifying
2(2m + 5) = m + 13

Reorder the terms:
2(5 + 2m) = m + 13
(5 * 2 + 2m * 2) = m + 13
(10 + 4m) = m + 13

Reorder the terms:
10 + 4m = 13 + m

Solving
10 + 4m = 13 + m

Solving for variable 'm'.

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

Add '-1m' to each side of the equation.
10 + 4m + -1m = 13 + m + -1m

Combine like terms: 4m + -1m = 3m
10 + 3m = 13 + m + -1m

Combine like terms: m + -1m = 0
10 + 3m = 13 + 0
10 + 3m = 13

Add '-10' to each side of the equation.
10 + -10 + 3m = 13 + -10

Combine like terms: 10 + -10 = 0
0 + 3m = 13 + -10
3m = 13 + -10

Combine like terms: 13 + -10 = 3
3m = 3

Divide each side by '3'.
m = 1

Simplifying
m = 1

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