5(m+2)=38-2m

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Solution for 5(m+2)=38-2m equation:


Simplifying
5(m + 2) = 38 + -2m

Reorder the terms:
5(2 + m) = 38 + -2m
(2 * 5 + m * 5) = 38 + -2m
(10 + 5m) = 38 + -2m

Solving
10 + 5m = 38 + -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.
10 + 5m + 2m = 38 + -2m + 2m

Combine like terms: 5m + 2m = 7m
10 + 7m = 38 + -2m + 2m

Combine like terms: -2m + 2m = 0
10 + 7m = 38 + 0
10 + 7m = 38

Add '-10' to each side of the equation.
10 + -10 + 7m = 38 + -10

Combine like terms: 10 + -10 = 0
0 + 7m = 38 + -10
7m = 38 + -10

Combine like terms: 38 + -10 = 28
7m = 28

Divide each side by '7'.
m = 4

Simplifying
m = 4

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