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

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


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

Reorder the terms:
3(-2 + m) + -5 = 8 + -2(m + -3)
(-2 * 3 + m * 3) + -5 = 8 + -2(m + -3)
(-6 + 3m) + -5 = 8 + -2(m + -3)

Reorder the terms:
-6 + -5 + 3m = 8 + -2(m + -3)

Combine like terms: -6 + -5 = -11
-11 + 3m = 8 + -2(m + -3)

Reorder the terms:
-11 + 3m = 8 + -2(-3 + m)
-11 + 3m = 8 + (-3 * -2 + m * -2)
-11 + 3m = 8 + (6 + -2m)

Combine like terms: 8 + 6 = 14
-11 + 3m = 14 + -2m

Solving
-11 + 3m = 14 + -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.
-11 + 3m + 2m = 14 + -2m + 2m

Combine like terms: 3m + 2m = 5m
-11 + 5m = 14 + -2m + 2m

Combine like terms: -2m + 2m = 0
-11 + 5m = 14 + 0
-11 + 5m = 14

Add '11' to each side of the equation.
-11 + 11 + 5m = 14 + 11

Combine like terms: -11 + 11 = 0
0 + 5m = 14 + 11
5m = 14 + 11

Combine like terms: 14 + 11 = 25
5m = 25

Divide each side by '5'.
m = 5

Simplifying
m = 5

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