[6x-4]+8=[17-x]+8

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Solution for [6x-4]+8=[17-x]+8 equation:


Simplifying
[6x + -4] + 8 = [17 + -1x] + 8

Reorder the terms:
[-4 + 6x] + 8 = [17 + -1x] + 8

Remove brackets around [-4 + 6x]
-4 + 6x + 8 = [17 + -1x] + 8

Reorder the terms:
-4 + 8 + 6x = [17 + -1x] + 8

Combine like terms: -4 + 8 = 4
4 + 6x = [17 + -1x] + 8

Remove brackets around [17 + -1x]
4 + 6x = 17 + -1x + 8

Reorder the terms:
4 + 6x = 17 + 8 + -1x

Combine like terms: 17 + 8 = 25
4 + 6x = 25 + -1x

Solving
4 + 6x = 25 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
4 + 6x + x = 25 + -1x + x

Combine like terms: 6x + x = 7x
4 + 7x = 25 + -1x + x

Combine like terms: -1x + x = 0
4 + 7x = 25 + 0
4 + 7x = 25

Add '-4' to each side of the equation.
4 + -4 + 7x = 25 + -4

Combine like terms: 4 + -4 = 0
0 + 7x = 25 + -4
7x = 25 + -4

Combine like terms: 25 + -4 = 21
7x = 21

Divide each side by '7'.
x = 3

Simplifying
x = 3

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