5(m-1)=2(2m+6)

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Solution for 5(m-1)=2(2m+6) equation:


Simplifying
5(m + -1) = 2(2m + 6)

Reorder the terms:
5(-1 + m) = 2(2m + 6)
(-1 * 5 + m * 5) = 2(2m + 6)
(-5 + 5m) = 2(2m + 6)

Reorder the terms:
-5 + 5m = 2(6 + 2m)
-5 + 5m = (6 * 2 + 2m * 2)
-5 + 5m = (12 + 4m)

Solving
-5 + 5m = 12 + 4m

Solving for variable 'm'.

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

Add '-4m' to each side of the equation.
-5 + 5m + -4m = 12 + 4m + -4m

Combine like terms: 5m + -4m = 1m
-5 + 1m = 12 + 4m + -4m

Combine like terms: 4m + -4m = 0
-5 + 1m = 12 + 0
-5 + 1m = 12

Add '5' to each side of the equation.
-5 + 5 + 1m = 12 + 5

Combine like terms: -5 + 5 = 0
0 + 1m = 12 + 5
1m = 12 + 5

Combine like terms: 12 + 5 = 17
1m = 17

Divide each side by '1'.
m = 17

Simplifying
m = 17

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