3(2m-3)=4(7-m)

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Solution for 3(2m-3)=4(7-m) equation:


Simplifying
3(2m + -3) = 4(7 + -1m)

Reorder the terms:
3(-3 + 2m) = 4(7 + -1m)
(-3 * 3 + 2m * 3) = 4(7 + -1m)
(-9 + 6m) = 4(7 + -1m)
-9 + 6m = (7 * 4 + -1m * 4)
-9 + 6m = (28 + -4m)

Solving
-9 + 6m = 28 + -4m

Solving for variable 'm'.

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

Add '4m' to each side of the equation.
-9 + 6m + 4m = 28 + -4m + 4m

Combine like terms: 6m + 4m = 10m
-9 + 10m = 28 + -4m + 4m

Combine like terms: -4m + 4m = 0
-9 + 10m = 28 + 0
-9 + 10m = 28

Add '9' to each side of the equation.
-9 + 9 + 10m = 28 + 9

Combine like terms: -9 + 9 = 0
0 + 10m = 28 + 9
10m = 28 + 9

Combine like terms: 28 + 9 = 37
10m = 37

Divide each side by '10'.
m = 3.7

Simplifying
m = 3.7

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