2(x-1)17x=18-5(x+4)

Solution for 2(x-1)17x=18-5(x+4) equation:

Simplifying
2(x + -1) * 17x = 18 + -5(x + 4)

Reorder the terms:
2(-1 + x) * 17x = 18 + -5(x + 4)

Reorder the terms for easier multiplication:
2 * 17x(-1 + x) = 18 + -5(x + 4)

Multiply 2 * 17
34x(-1 + x) = 18 + -5(x + 4)
(-1 * 34x + x * 34x) = 18 + -5(x + 4)
(-34x + 34x2) = 18 + -5(x + 4)

Reorder the terms:
-34x + 34x2 = 18 + -5(4 + x)
-34x + 34x2 = 18 + (4 * -5 + x * -5)
-34x + 34x2 = 18 + (-20 + -5x)

Combine like terms: 18 + -20 = -2
-34x + 34x2 = -2 + -5x

Solving
-34x + 34x2 = -2 + -5x

Solving for variable 'x'.

Reorder the terms:
2 + -34x + 5x + 34x2 = -2 + -5x + 2 + 5x

Combine like terms: -34x + 5x = -29x
2 + -29x + 34x2 = -2 + -5x + 2 + 5x

Reorder the terms:
2 + -29x + 34x2 = -2 + 2 + -5x + 5x

Combine like terms: -2 + 2 = 0
2 + -29x + 34x2 = 0 + -5x + 5x
2 + -29x + 34x2 = -5x + 5x

Combine like terms: -5x + 5x = 0
2 + -29x + 34x2 = 0

Begin completing the square.  Divide all terms by
34 the coefficient of the squared term: 

Divide each side by '34'.
0.05882352941 + -0.8529411765x + x2 = 0

Move the constant term to the right:

Add '-0.05882352941' to each side of the equation.
0.05882352941 + -0.8529411765x + -0.05882352941 + x2 = 0 + -0.05882352941

Reorder the terms:
0.05882352941 + -0.05882352941 + -0.8529411765x + x2 = 0 + -0.05882352941

Combine like terms: 0.05882352941 + -0.05882352941 = 0.00000000000
0.00000000000 + -0.8529411765x + x2 = 0 + -0.05882352941
-0.8529411765x + x2 = 0 + -0.05882352941

Combine like terms: 0 + -0.05882352941 = -0.05882352941
-0.8529411765x + x2 = -0.05882352941

The x term is -0.8529411765x.  Take half its coefficient (-0.4264705883).
Square it (0.1818771627) and add it to both sides.

Add '0.1818771627' to each side of the equation.
-0.8529411765x + 0.1818771627 + x2 = -0.05882352941 + 0.1818771627

Reorder the terms:
0.1818771627 + -0.8529411765x + x2 = -0.05882352941 + 0.1818771627

Combine like terms: -0.05882352941 + 0.1818771627 = 0.12305363329
0.1818771627 + -0.8529411765x + x2 = 0.12305363329

Factor a perfect square on the left side:
(x + -0.4264705883)(x + -0.4264705883) = 0.12305363329

Calculate the square root of the right side: 0.350790013

Break this problem into two subproblems by setting 
(x + -0.4264705883) equal to 0.350790013 and -0.350790013.

Subproblem 1
x + -0.4264705883 = 0.350790013

Simplifying
x + -0.4264705883 = 0.350790013

Reorder the terms:
-0.4264705883 + x = 0.350790013

Solving
-0.4264705883 + x = 0.350790013

Solving for variable 'x'.

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

Add '0.4264705883' to each side of the equation.
-0.4264705883 + 0.4264705883 + x = 0.350790013 + 0.4264705883

Combine like terms: -0.4264705883 + 0.4264705883 = 0.0000000000
0.0000000000 + x = 0.350790013 + 0.4264705883
x = 0.350790013 + 0.4264705883

Combine like terms: 0.350790013 + 0.4264705883 = 0.7772606013
x = 0.7772606013

Simplifying
x = 0.7772606013

Subproblem 2
x + -0.4264705883 = -0.350790013

Simplifying
x + -0.4264705883 = -0.350790013

Reorder the terms:
-0.4264705883 + x = -0.350790013

Solving
-0.4264705883 + x = -0.350790013

Solving for variable 'x'.

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

Add '0.4264705883' to each side of the equation.
-0.4264705883 + 0.4264705883 + x = -0.350790013 + 0.4264705883

Combine like terms: -0.4264705883 + 0.4264705883 = 0.0000000000
0.0000000000 + x = -0.350790013 + 0.4264705883
x = -0.350790013 + 0.4264705883

Combine like terms: -0.350790013 + 0.4264705883 = 0.0756805753
x = 0.0756805753

Simplifying
x = 0.0756805753

Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {0.7772606013, 0.0756805753}