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

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


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

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

Combine like terms: 4 + -2 = 2
2 + -5x = (8x + -17)

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

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

Solving
2 + -5x = -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.
2 + -5x + -8x = -17 + 8x + -8x

Combine like terms: -5x + -8x = -13x
2 + -13x = -17 + 8x + -8x

Combine like terms: 8x + -8x = 0
2 + -13x = -17 + 0
2 + -13x = -17

Add '-2' to each side of the equation.
2 + -2 + -13x = -17 + -2

Combine like terms: 2 + -2 = 0
0 + -13x = -17 + -2
-13x = -17 + -2

Combine like terms: -17 + -2 = -19
-13x = -19

Divide each side by '-13'.
x = 1.461538462

Simplifying
x = 1.461538462

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