(8x-20)+(2x+34)=x

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Solution for (8x-20)+(2x+34)=x equation:


Simplifying
(8x + -20) + (2x + 34) = x

Reorder the terms:
(-20 + 8x) + (2x + 34) = x

Remove parenthesis around (-20 + 8x)
-20 + 8x + (2x + 34) = x

Reorder the terms:
-20 + 8x + (34 + 2x) = x

Remove parenthesis around (34 + 2x)
-20 + 8x + 34 + 2x = x

Reorder the terms:
-20 + 34 + 8x + 2x = x

Combine like terms: -20 + 34 = 14
14 + 8x + 2x = x

Combine like terms: 8x + 2x = 10x
14 + 10x = x

Solving
14 + 10x = 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.
14 + 10x + -1x = x + -1x

Combine like terms: 10x + -1x = 9x
14 + 9x = x + -1x

Combine like terms: x + -1x = 0
14 + 9x = 0

Add '-14' to each side of the equation.
14 + -14 + 9x = 0 + -14

Combine like terms: 14 + -14 = 0
0 + 9x = 0 + -14
9x = 0 + -14

Combine like terms: 0 + -14 = -14
9x = -14

Divide each side by '9'.
x = -1.555555556

Simplifying
x = -1.555555556

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