5(m-2)=3(m+4)

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Solution for 5(m-2)=3(m+4) equation:


Simplifying
5(m + -2) = 3(m + 4)

Reorder the terms:
5(-2 + m) = 3(m + 4)
(-2 * 5 + m * 5) = 3(m + 4)
(-10 + 5m) = 3(m + 4)

Reorder the terms:
-10 + 5m = 3(4 + m)
-10 + 5m = (4 * 3 + m * 3)
-10 + 5m = (12 + 3m)

Solving
-10 + 5m = 12 + 3m

Solving for variable 'm'.

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

Add '-3m' to each side of the equation.
-10 + 5m + -3m = 12 + 3m + -3m

Combine like terms: 5m + -3m = 2m
-10 + 2m = 12 + 3m + -3m

Combine like terms: 3m + -3m = 0
-10 + 2m = 12 + 0
-10 + 2m = 12

Add '10' to each side of the equation.
-10 + 10 + 2m = 12 + 10

Combine like terms: -10 + 10 = 0
0 + 2m = 12 + 10
2m = 12 + 10

Combine like terms: 12 + 10 = 22
2m = 22

Divide each side by '2'.
m = 11

Simplifying
m = 11

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