5-2(m-1)=3m-8

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Solution for 5-2(m-1)=3m-8 equation:


Simplifying
5 + -2(m + -1) = 3m + -8

Reorder the terms:
5 + -2(-1 + m) = 3m + -8
5 + (-1 * -2 + m * -2) = 3m + -8
5 + (2 + -2m) = 3m + -8

Combine like terms: 5 + 2 = 7
7 + -2m = 3m + -8

Reorder the terms:
7 + -2m = -8 + 3m

Solving
7 + -2m = -8 + 3m

Solving for variable 'm'.

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

Add '-3m' to each side of the equation.
7 + -2m + -3m = -8 + 3m + -3m

Combine like terms: -2m + -3m = -5m
7 + -5m = -8 + 3m + -3m

Combine like terms: 3m + -3m = 0
7 + -5m = -8 + 0
7 + -5m = -8

Add '-7' to each side of the equation.
7 + -7 + -5m = -8 + -7

Combine like terms: 7 + -7 = 0
0 + -5m = -8 + -7
-5m = -8 + -7

Combine like terms: -8 + -7 = -15
-5m = -15

Divide each side by '-5'.
m = 3

Simplifying
m = 3

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