x(x-9)+17=x(x+8)

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Solution for x(x-9)+17=x(x+8) equation:


Simplifying
x(x + -9) + 17 = x(x + 8)

Reorder the terms:
x(-9 + x) + 17 = x(x + 8)
(-9 * x + x * x) + 17 = x(x + 8)
(-9x + x2) + 17 = x(x + 8)

Reorder the terms:
17 + -9x + x2 = x(x + 8)

Reorder the terms:
17 + -9x + x2 = x(8 + x)
17 + -9x + x2 = (8 * x + x * x)
17 + -9x + x2 = (8x + x2)

Add '-1x2' to each side of the equation.
17 + -9x + x2 + -1x2 = 8x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
17 + -9x + 0 = 8x + x2 + -1x2
17 + -9x = 8x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
17 + -9x = 8x + 0
17 + -9x = 8x

Solving
17 + -9x = 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
17 + -9x + -8x = 8x + -8x

Combine like terms: -9x + -8x = -17x
17 + -17x = 8x + -8x

Combine like terms: 8x + -8x = 0
17 + -17x = 0

Add '-17' to each side of the equation.
17 + -17 + -17x = 0 + -17

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

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

Divide each side by '-17'.
x = 1

Simplifying
x = 1

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