7(m+2)=5(4+m)

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Solution for 7(m+2)=5(4+m) equation: 


Simplifying
7(m + 2) = 5(4 + m)

Reorder the terms:
7(2 + m) = 5(4 + m)
(2 * 7 + m * 7) = 5(4 + m)
(14 + 7m) = 5(4 + m)
14 + 7m = (4 * 5 + m * 5)
14 + 7m = (20 + 5m)

Solving
14 + 7m = 20 + 5m

Solving for variable 'm'.

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

Add '-5m' to each side of the equation.
14 + 7m + -5m = 20 + 5m + -5m

Combine like terms: 7m + -5m = 2m
14 + 2m = 20 + 5m + -5m

Combine like terms: 5m + -5m = 0
14 + 2m = 20 + 0
14 + 2m = 20

Add '-14' to each side of the equation.
14 + -14 + 2m = 20 + -14

Combine like terms: 14 + -14 = 0
0 + 2m = 20 + -14
2m = 20 + -14

Combine like terms: 20 + -14 = 6
2m = 6

Divide each side by '2'.
m = 3

Simplifying
m = 3

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