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

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


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

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

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

Combine like terms: 5m + -2m = 3m
-4 + 3m = (2m + 10)

Reorder the terms:
-4 + 3m = (10 + 2m)

Remove parenthesis around (10 + 2m)
-4 + 3m = 10 + 2m

Solving
-4 + 3m = 10 + 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 + 3m + -2m = 10 + 2m + -2m

Combine like terms: 3m + -2m = 1m
-4 + 1m = 10 + 2m + -2m

Combine like terms: 2m + -2m = 0
-4 + 1m = 10 + 0
-4 + 1m = 10

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

Combine like terms: -4 + 4 = 0
0 + 1m = 10 + 4
1m = 10 + 4

Combine like terms: 10 + 4 = 14
1m = 14

Divide each side by '1'.
m = 14

Simplifying
m = 14

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