12(m+3)=10(m+4)

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Solution for 12(m+3)=10(m+4) equation: 


Simplifying
12(m + 3) = 10(m + 4)

Reorder the terms:
12(3 + m) = 10(m + 4)
(3 * 12 + m * 12) = 10(m + 4)
(36 + 12m) = 10(m + 4)

Reorder the terms:
36 + 12m = 10(4 + m)
36 + 12m = (4 * 10 + m * 10)
36 + 12m = (40 + 10m)

Solving
36 + 12m = 40 + 10m

Solving for variable 'm'.

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

Add '-10m' to each side of the equation.
36 + 12m + -10m = 40 + 10m + -10m

Combine like terms: 12m + -10m = 2m
36 + 2m = 40 + 10m + -10m

Combine like terms: 10m + -10m = 0
36 + 2m = 40 + 0
36 + 2m = 40

Add '-36' to each side of the equation.
36 + -36 + 2m = 40 + -36

Combine like terms: 36 + -36 = 0
0 + 2m = 40 + -36
2m = 40 + -36

Combine like terms: 40 + -36 = 4
2m = 4

Divide each side by '2'.
m = 2

Simplifying
m = 2

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