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

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


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

Combine like terms: 5 + -3 = 2
2 + 3m = 2(m + -5)

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

Solving
2 + 3m = -10 + 2m

Solving for variable 'm'.

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

Add '-2m' to each side of the equation.
2 + 3m + -2m = -10 + 2m + -2m

Combine like terms: 3m + -2m = 1m
2 + 1m = -10 + 2m + -2m

Combine like terms: 2m + -2m = 0
2 + 1m = -10 + 0
2 + 1m = -10

Add '-2' to each side of the equation.
2 + -2 + 1m = -10 + -2

Combine like terms: 2 + -2 = 0
0 + 1m = -10 + -2
1m = -10 + -2

Combine like terms: -10 + -2 = -12
1m = -12

Divide each side by '1'.
m = -12

Simplifying
m = -12

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