5(3-m)=3-2(2m-1)

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


Simplifying
5(3 + -1m) = 3 + -2(2m + -1)
(3 * 5 + -1m * 5) = 3 + -2(2m + -1)
(15 + -5m) = 3 + -2(2m + -1)

Reorder the terms:
15 + -5m = 3 + -2(-1 + 2m)
15 + -5m = 3 + (-1 * -2 + 2m * -2)
15 + -5m = 3 + (2 + -4m)

Combine like terms: 3 + 2 = 5
15 + -5m = 5 + -4m

Solving
15 + -5m = 5 + -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 + -5m + 4m = 5 + -4m + 4m

Combine like terms: -5m + 4m = -1m
15 + -1m = 5 + -4m + 4m

Combine like terms: -4m + 4m = 0
15 + -1m = 5 + 0
15 + -1m = 5

Add '-15' to each side of the equation.
15 + -15 + -1m = 5 + -15

Combine like terms: 15 + -15 = 0
0 + -1m = 5 + -15
-1m = 5 + -15

Combine like terms: 5 + -15 = -10
-1m = -10

Divide each side by '-1'.
m = 10

Simplifying
m = 10

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