3(x+2m)=4(3m+12)

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Solution for 3(x+2m)=4(3m+12) equation:


Simplifying
3(x + 2m) = 4(3m + 12)

Reorder the terms:
3(2m + x) = 4(3m + 12)
(2m * 3 + x * 3) = 4(3m + 12)
(6m + 3x) = 4(3m + 12)

Reorder the terms:
6m + 3x = 4(12 + 3m)
6m + 3x = (12 * 4 + 3m * 4)
6m + 3x = (48 + 12m)

Solving
6m + 3x = 48 + 12m

Solving for variable 'm'.

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

Add '-12m' to each side of the equation.
6m + -12m + 3x = 48 + 12m + -12m

Combine like terms: 6m + -12m = -6m
-6m + 3x = 48 + 12m + -12m

Combine like terms: 12m + -12m = 0
-6m + 3x = 48 + 0
-6m + 3x = 48

Add '-3x' to each side of the equation.
-6m + 3x + -3x = 48 + -3x

Combine like terms: 3x + -3x = 0
-6m + 0 = 48 + -3x
-6m = 48 + -3x

Divide each side by '-6'.
m = -8 + 0.5x

Simplifying
m = -8 + 0.5x

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