5(m+1)=3(2m-2)

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Solution for 5(m+1)=3(2m-2) equation:


Simplifying
5(m + 1) = 3(2m + -2)

Reorder the terms:
5(1 + m) = 3(2m + -2)
(1 * 5 + m * 5) = 3(2m + -2)
(5 + 5m) = 3(2m + -2)

Reorder the terms:
5 + 5m = 3(-2 + 2m)
5 + 5m = (-2 * 3 + 2m * 3)
5 + 5m = (-6 + 6m)

Solving
5 + 5m = -6 + 6m

Solving for variable 'm'.

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

Add '-6m' to each side of the equation.
5 + 5m + -6m = -6 + 6m + -6m

Combine like terms: 5m + -6m = -1m
5 + -1m = -6 + 6m + -6m

Combine like terms: 6m + -6m = 0
5 + -1m = -6 + 0
5 + -1m = -6

Add '-5' to each side of the equation.
5 + -5 + -1m = -6 + -5

Combine like terms: 5 + -5 = 0
0 + -1m = -6 + -5
-1m = -6 + -5

Combine like terms: -6 + -5 = -11
-1m = -11

Divide each side by '-1'.
m = 11

Simplifying
m = 11

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