(9x-34)+(20-x)=90

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Solution for (9x-34)+(20-x)=90 equation:


Simplifying
(9x + -34) + (20 + -1x) = 90

Reorder the terms:
(-34 + 9x) + (20 + -1x) = 90

Remove parenthesis around (-34 + 9x)
-34 + 9x + (20 + -1x) = 90

Remove parenthesis around (20 + -1x)
-34 + 9x + 20 + -1x = 90

Reorder the terms:
-34 + 20 + 9x + -1x = 90

Combine like terms: -34 + 20 = -14
-14 + 9x + -1x = 90

Combine like terms: 9x + -1x = 8x
-14 + 8x = 90

Solving
-14 + 8x = 90

Solving for variable 'x'.

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

Add '14' to each side of the equation.
-14 + 14 + 8x = 90 + 14

Combine like terms: -14 + 14 = 0
0 + 8x = 90 + 14
8x = 90 + 14

Combine like terms: 90 + 14 = 104
8x = 104

Divide each side by '8'.
x = 13

Simplifying
x = 13

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