8+9-(x-2)=17-5x

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Solution for 8+9-(x-2)=17-5x equation:


Simplifying
8 + 9 + -1(x + -2) = 17 + -5x

Reorder the terms:
8 + 9 + -1(-2 + x) = 17 + -5x
8 + 9 + (-2 * -1 + x * -1) = 17 + -5x
8 + 9 + (2 + -1x) = 17 + -5x

Combine like terms: 8 + 9 = 17
17 + 2 + -1x = 17 + -5x

Combine like terms: 17 + 2 = 19
19 + -1x = 17 + -5x

Solving
19 + -1x = 17 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
19 + -1x + 5x = 17 + -5x + 5x

Combine like terms: -1x + 5x = 4x
19 + 4x = 17 + -5x + 5x

Combine like terms: -5x + 5x = 0
19 + 4x = 17 + 0
19 + 4x = 17

Add '-19' to each side of the equation.
19 + -19 + 4x = 17 + -19

Combine like terms: 19 + -19 = 0
0 + 4x = 17 + -19
4x = 17 + -19

Combine like terms: 17 + -19 = -2
4x = -2

Divide each side by '4'.
x = -0.5

Simplifying
x = -0.5

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