(9x+17)=(4x-5)+7x

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Solution for (9x+17)=(4x-5)+7x equation:


Simplifying
(9x + 17) = (4x + -5) + 7x

Reorder the terms:
(17 + 9x) = (4x + -5) + 7x

Remove parenthesis around (17 + 9x)
17 + 9x = (4x + -5) + 7x

Reorder the terms:
17 + 9x = (-5 + 4x) + 7x

Remove parenthesis around (-5 + 4x)
17 + 9x = -5 + 4x + 7x

Combine like terms: 4x + 7x = 11x
17 + 9x = -5 + 11x

Solving
17 + 9x = -5 + 11x

Solving for variable 'x'.

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

Add '-11x' to each side of the equation.
17 + 9x + -11x = -5 + 11x + -11x

Combine like terms: 9x + -11x = -2x
17 + -2x = -5 + 11x + -11x

Combine like terms: 11x + -11x = 0
17 + -2x = -5 + 0
17 + -2x = -5

Add '-17' to each side of the equation.
17 + -17 + -2x = -5 + -17

Combine like terms: 17 + -17 = 0
0 + -2x = -5 + -17
-2x = -5 + -17

Combine like terms: -5 + -17 = -22
-2x = -22

Divide each side by '-2'.
x = 11

Simplifying
x = 11

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