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

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


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

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

Reorder the terms:
10 + 2m = 3(3 + m)
10 + 2m = (3 * 3 + m * 3)
10 + 2m = (9 + 3m)

Solving
10 + 2m = 9 + 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 + 2m + -3m = 9 + 3m + -3m

Combine like terms: 2m + -3m = -1m
10 + -1m = 9 + 3m + -3m

Combine like terms: 3m + -3m = 0
10 + -1m = 9 + 0
10 + -1m = 9

Add '-10' to each side of the equation.
10 + -10 + -1m = 9 + -10

Combine like terms: 10 + -10 = 0
0 + -1m = 9 + -10
-1m = 9 + -10

Combine like terms: 9 + -10 = -1
-1m = -1

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

Simplifying
m = 1

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