3(4m+1)=2(5m+4)

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Solution for 3(4m+1)=2(5m+4) equation:


Simplifying
3(4m + 1) = 2(5m + 4)

Reorder the terms:
3(1 + 4m) = 2(5m + 4)
(1 * 3 + 4m * 3) = 2(5m + 4)
(3 + 12m) = 2(5m + 4)

Reorder the terms:
3 + 12m = 2(4 + 5m)
3 + 12m = (4 * 2 + 5m * 2)
3 + 12m = (8 + 10m)

Solving
3 + 12m = 8 + 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.
3 + 12m + -10m = 8 + 10m + -10m

Combine like terms: 12m + -10m = 2m
3 + 2m = 8 + 10m + -10m

Combine like terms: 10m + -10m = 0
3 + 2m = 8 + 0
3 + 2m = 8

Add '-3' to each side of the equation.
3 + -3 + 2m = 8 + -3

Combine like terms: 3 + -3 = 0
0 + 2m = 8 + -3
2m = 8 + -3

Combine like terms: 8 + -3 = 5
2m = 5

Divide each side by '2'.
m = 2.5

Simplifying
m = 2.5

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