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

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


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

Reorder the terms:
5(-3 + 2m) = 2(2m + 3)
(-3 * 5 + 2m * 5) = 2(2m + 3)
(-15 + 10m) = 2(2m + 3)

Reorder the terms:
-15 + 10m = 2(3 + 2m)
-15 + 10m = (3 * 2 + 2m * 2)
-15 + 10m = (6 + 4m)

Solving
-15 + 10m = 6 + 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.
-15 + 10m + -4m = 6 + 4m + -4m

Combine like terms: 10m + -4m = 6m
-15 + 6m = 6 + 4m + -4m

Combine like terms: 4m + -4m = 0
-15 + 6m = 6 + 0
-15 + 6m = 6

Add '15' to each side of the equation.
-15 + 15 + 6m = 6 + 15

Combine like terms: -15 + 15 = 0
0 + 6m = 6 + 15
6m = 6 + 15

Combine like terms: 6 + 15 = 21
6m = 21

Divide each side by '6'.
m = 3.5

Simplifying
m = 3.5

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