5-3(m-7)=2(2-m)-8

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Solution for 5-3(m-7)=2(2-m)-8 equation: 


Simplifying
5 + -3(m + -7) = 2(2 + -1m) + -8

Reorder the terms:
5 + -3(-7 + m) = 2(2 + -1m) + -8
5 + (-7 * -3 + m * -3) = 2(2 + -1m) + -8
5 + (21 + -3m) = 2(2 + -1m) + -8

Combine like terms: 5 + 21 = 26
26 + -3m = 2(2 + -1m) + -8
26 + -3m = (2 * 2 + -1m * 2) + -8
26 + -3m = (4 + -2m) + -8

Reorder the terms:
26 + -3m = 4 + -8 + -2m

Combine like terms: 4 + -8 = -4
26 + -3m = -4 + -2m

Solving
26 + -3m = -4 + -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.
26 + -3m + 2m = -4 + -2m + 2m

Combine like terms: -3m + 2m = -1m
26 + -1m = -4 + -2m + 2m

Combine like terms: -2m + 2m = 0
26 + -1m = -4 + 0
26 + -1m = -4

Add '-26' to each side of the equation.
26 + -26 + -1m = -4 + -26

Combine like terms: 26 + -26 = 0
0 + -1m = -4 + -26
-1m = -4 + -26

Combine like terms: -4 + -26 = -30
-1m = -30

Divide each side by '-1'.
m = 30

Simplifying
m = 30

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