-2(x+6)+1=8(2x-1)5x

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Solution for -2(x+6)+1=8(2x-1)5x equation: 


Simplifying
-2(x + 6) + 1 = 8(2x + -1) * 5x

Reorder the terms:
-2(6 + x) + 1 = 8(2x + -1) * 5x
(6 * -2 + x * -2) + 1 = 8(2x + -1) * 5x
(-12 + -2x) + 1 = 8(2x + -1) * 5x

Reorder the terms:
-12 + 1 + -2x = 8(2x + -1) * 5x

Combine like terms: -12 + 1 = -11
-11 + -2x = 8(2x + -1) * 5x

Reorder the terms:
-11 + -2x = 8(-1 + 2x) * 5x

Reorder the terms for easier multiplication:
-11 + -2x = 8 * 5x(-1 + 2x)

Multiply 8 * 5
-11 + -2x = 40x(-1 + 2x)
-11 + -2x = (-1 * 40x + 2x * 40x)
-11 + -2x = (-40x + 80x2)

Solving
-11 + -2x = -40x + 80x2

Solving for variable 'x'.

Combine like terms: -2x + 40x = 38x
-11 + 38x + -80x2 = -40x + 80x2 + 40x + -80x2

Reorder the terms:
-11 + 38x + -80x2 = -40x + 40x + 80x2 + -80x2

Combine like terms: -40x + 40x = 0
-11 + 38x + -80x2 = 0 + 80x2 + -80x2
-11 + 38x + -80x2 = 80x2 + -80x2

Combine like terms: 80x2 + -80x2 = 0
-11 + 38x + -80x2 = 0

Begin completing the square.  Divide all terms by
-80 the coefficient of the squared term: 

Divide each side by '-80'.
0.1375 + -0.475x + x2 = 0

Move the constant term to the right:

Add '-0.1375' to each side of the equation.
0.1375 + -0.475x + -0.1375 + x2 = 0 + -0.1375

Reorder the terms:
0.1375 + -0.1375 + -0.475x + x2 = 0 + -0.1375

Combine like terms: 0.1375 + -0.1375 = 0.0000
0.0000 + -0.475x + x2 = 0 + -0.1375
-0.475x + x2 = 0 + -0.1375

Combine like terms: 0 + -0.1375 = -0.1375
-0.475x + x2 = -0.1375

The x term is -0.475x.  Take half its coefficient (-0.2375).
Square it (0.05640625) and add it to both sides.

Add '0.05640625' to each side of the equation.
-0.475x + 0.05640625 + x2 = -0.1375 + 0.05640625

Reorder the terms:
0.05640625 + -0.475x + x2 = -0.1375 + 0.05640625

Combine like terms: -0.1375 + 0.05640625 = -0.08109375
0.05640625 + -0.475x + x2 = -0.08109375

Factor a perfect square on the left side:
(x + -0.2375)(x + -0.2375) = -0.08109375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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