2-(x-3)-3+(4x-5)=17-8x

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Solution for 2-(x-3)-3+(4x-5)=17-8x equation:


Simplifying
2 + -1(x + -3) + -3 + (4x + -5) = 17 + -8x

Reorder the terms:
2 + -1(-3 + x) + -3 + (4x + -5) = 17 + -8x
2 + (-3 * -1 + x * -1) + -3 + (4x + -5) = 17 + -8x
2 + (3 + -1x) + -3 + (4x + -5) = 17 + -8x

Reorder the terms:
2 + 3 + -1x + -3 + (-5 + 4x) = 17 + -8x

Remove parenthesis around (-5 + 4x)
2 + 3 + -1x + -3 + -5 + 4x = 17 + -8x

Reorder the terms:
2 + 3 + -3 + -5 + -1x + 4x = 17 + -8x

Combine like terms: 2 + 3 = 5
5 + -3 + -5 + -1x + 4x = 17 + -8x

Combine like terms: 5 + -3 = 2
2 + -5 + -1x + 4x = 17 + -8x

Combine like terms: 2 + -5 = -3
-3 + -1x + 4x = 17 + -8x

Combine like terms: -1x + 4x = 3x
-3 + 3x = 17 + -8x

Solving
-3 + 3x = 17 + -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.
-3 + 3x + 8x = 17 + -8x + 8x

Combine like terms: 3x + 8x = 11x
-3 + 11x = 17 + -8x + 8x

Combine like terms: -8x + 8x = 0
-3 + 11x = 17 + 0
-3 + 11x = 17

Add '3' to each side of the equation.
-3 + 3 + 11x = 17 + 3

Combine like terms: -3 + 3 = 0
0 + 11x = 17 + 3
11x = 17 + 3

Combine like terms: 17 + 3 = 20
11x = 20

Divide each side by '11'.
x = 1.818181818

Simplifying
x = 1.818181818

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