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

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


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

Reorder the terms:
5m + 2(2 + m) = (2m + 15)
5m + (2 * 2 + m * 2) = (2m + 15)
5m + (4 + 2m) = (2m + 15)

Reorder the terms:
4 + 5m + 2m = (2m + 15)

Combine like terms: 5m + 2m = 7m
4 + 7m = (2m + 15)

Reorder the terms:
4 + 7m = (15 + 2m)

Remove parenthesis around (15 + 2m)
4 + 7m = 15 + 2m

Solving
4 + 7m = 15 + 2m

Solving for variable 'm'.

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

Add '-2m' to each side of the equation.
4 + 7m + -2m = 15 + 2m + -2m

Combine like terms: 7m + -2m = 5m
4 + 5m = 15 + 2m + -2m

Combine like terms: 2m + -2m = 0
4 + 5m = 15 + 0
4 + 5m = 15

Add '-4' to each side of the equation.
4 + -4 + 5m = 15 + -4

Combine like terms: 4 + -4 = 0
0 + 5m = 15 + -4
5m = 15 + -4

Combine like terms: 15 + -4 = 11
5m = 11

Divide each side by '5'.
m = 2.2

Simplifying
m = 2.2

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