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

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


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

Reorder the terms:
3(-5 + m) = 2(m + 5)
(-5 * 3 + m * 3) = 2(m + 5)
(-15 + 3m) = 2(m + 5)

Reorder the terms:
-15 + 3m = 2(5 + m)
-15 + 3m = (5 * 2 + m * 2)
-15 + 3m = (10 + 2m)

Solving
-15 + 3m = 10 + 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.
-15 + 3m + -2m = 10 + 2m + -2m

Combine like terms: 3m + -2m = 1m
-15 + 1m = 10 + 2m + -2m

Combine like terms: 2m + -2m = 0
-15 + 1m = 10 + 0
-15 + 1m = 10

Add '15' to each side of the equation.
-15 + 15 + 1m = 10 + 15

Combine like terms: -15 + 15 = 0
0 + 1m = 10 + 15
1m = 10 + 15

Combine like terms: 10 + 15 = 25
1m = 25

Divide each side by '1'.
m = 25

Simplifying
m = 25

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