(17x+1)+(5x+10)+(3x-6)=x

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Solution for (17x+1)+(5x+10)+(3x-6)=x equation:


Simplifying
(17x + 1) + (5x + 10) + (3x + -6) = x

Reorder the terms:
(1 + 17x) + (5x + 10) + (3x + -6) = x

Remove parenthesis around (1 + 17x)
1 + 17x + (5x + 10) + (3x + -6) = x

Reorder the terms:
1 + 17x + (10 + 5x) + (3x + -6) = x

Remove parenthesis around (10 + 5x)
1 + 17x + 10 + 5x + (3x + -6) = x

Reorder the terms:
1 + 17x + 10 + 5x + (-6 + 3x) = x

Remove parenthesis around (-6 + 3x)
1 + 17x + 10 + 5x + -6 + 3x = x

Reorder the terms:
1 + 10 + -6 + 17x + 5x + 3x = x

Combine like terms: 1 + 10 = 11
11 + -6 + 17x + 5x + 3x = x

Combine like terms: 11 + -6 = 5
5 + 17x + 5x + 3x = x

Combine like terms: 17x + 5x = 22x
5 + 22x + 3x = x

Combine like terms: 22x + 3x = 25x
5 + 25x = x

Solving
5 + 25x = x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
5 + 25x + -1x = x + -1x

Combine like terms: 25x + -1x = 24x
5 + 24x = x + -1x

Combine like terms: x + -1x = 0
5 + 24x = 0

Add '-5' to each side of the equation.
5 + -5 + 24x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 24x = 0 + -5
24x = 0 + -5

Combine like terms: 0 + -5 = -5
24x = -5

Divide each side by '24'.
x = -0.2083333333

Simplifying
x = -0.2083333333

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