8x+2=9-(9x-8)

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Solution for 8x+2=9-(9x-8) equation:


Simplifying
8x + 2 = 9 + -1(9x + -8)

Reorder the terms:
2 + 8x = 9 + -1(9x + -8)

Reorder the terms:
2 + 8x = 9 + -1(-8 + 9x)
2 + 8x = 9 + (-8 * -1 + 9x * -1)
2 + 8x = 9 + (8 + -9x)

Combine like terms: 9 + 8 = 17
2 + 8x = 17 + -9x

Solving
2 + 8x = 17 + -9x

Solving for variable 'x'.

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

Add '9x' to each side of the equation.
2 + 8x + 9x = 17 + -9x + 9x

Combine like terms: 8x + 9x = 17x
2 + 17x = 17 + -9x + 9x

Combine like terms: -9x + 9x = 0
2 + 17x = 17 + 0
2 + 17x = 17

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

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

Combine like terms: 17 + -2 = 15
17x = 15

Divide each side by '17'.
x = 0.8823529412

Simplifying
x = 0.8823529412

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