2-6+2(3-m)=5(m-3)-3

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Solution for 2-6+2(3-m)=5(m-3)-3 equation: 


Simplifying
2 + -6 + 2(3 + -1m) = 5(m + -3) + -3
2 + -6 + (3 * 2 + -1m * 2) = 5(m + -3) + -3
2 + -6 + (6 + -2m) = 5(m + -3) + -3

Combine like terms: 2 + -6 = -4
-4 + 6 + -2m = 5(m + -3) + -3

Combine like terms: -4 + 6 = 2
2 + -2m = 5(m + -3) + -3

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

Reorder the terms:
2 + -2m = -15 + -3 + 5m

Combine like terms: -15 + -3 = -18
2 + -2m = -18 + 5m

Solving
2 + -2m = -18 + 5m

Solving for variable 'm'.

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

Add '-5m' to each side of the equation.
2 + -2m + -5m = -18 + 5m + -5m

Combine like terms: -2m + -5m = -7m
2 + -7m = -18 + 5m + -5m

Combine like terms: 5m + -5m = 0
2 + -7m = -18 + 0
2 + -7m = -18

Add '-2' to each side of the equation.
2 + -2 + -7m = -18 + -2

Combine like terms: 2 + -2 = 0
0 + -7m = -18 + -2
-7m = -18 + -2

Combine like terms: -18 + -2 = -20
-7m = -20

Divide each side by '-7'.
m = 2.857142857

Simplifying
m = 2.857142857

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