(6x-4)-5=(17-x)+8

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Solution for (6x-4)-5=(17-x)+8 equation:


Simplifying
(6x + -4) + -5 = (17 + -1x) + 8

Reorder the terms:
(-4 + 6x) + -5 = (17 + -1x) + 8

Remove parenthesis around (-4 + 6x)
-4 + 6x + -5 = (17 + -1x) + 8

Reorder the terms:
-4 + -5 + 6x = (17 + -1x) + 8

Combine like terms: -4 + -5 = -9
-9 + 6x = (17 + -1x) + 8

Remove parenthesis around (17 + -1x)
-9 + 6x = 17 + -1x + 8

Reorder the terms:
-9 + 6x = 17 + 8 + -1x

Combine like terms: 17 + 8 = 25
-9 + 6x = 25 + -1x

Solving
-9 + 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.
-9 + 6x + x = 25 + -1x + x

Combine like terms: 6x + x = 7x
-9 + 7x = 25 + -1x + x

Combine like terms: -1x + x = 0
-9 + 7x = 25 + 0
-9 + 7x = 25

Add '9' to each side of the equation.
-9 + 9 + 7x = 25 + 9

Combine like terms: -9 + 9 = 0
0 + 7x = 25 + 9
7x = 25 + 9

Combine like terms: 25 + 9 = 34
7x = 34

Divide each side by '7'.
x = 4.857142857

Simplifying
x = 4.857142857

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