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

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

Simplifying
2x + -3 + -8x = 5x(-3 + 2x)

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

Combine like terms: 2x + -8x = -6x
-3 + -6x = 5x(-3 + 2x)
-3 + -6x = (-3 * 5x + 2x * 5x)
-3 + -6x = (-15x + 10x2)

Solving
-3 + -6x = -15x + 10x2

Solving for variable 'x'.

Combine like terms: -6x + 15x = 9x
-3 + 9x + -10x2 = -15x + 10x2 + 15x + -10x2

Reorder the terms:
-3 + 9x + -10x2 = -15x + 15x + 10x2 + -10x2

Combine like terms: -15x + 15x = 0
-3 + 9x + -10x2 = 0 + 10x2 + -10x2
-3 + 9x + -10x2 = 10x2 + -10x2

Combine like terms: 10x2 + -10x2 = 0
-3 + 9x + -10x2 = 0

Begin completing the square.  Divide all terms by
-10 the coefficient of the squared term: 

Divide each side by '-10'.
0.3 + -0.9x + x2 = 0

Move the constant term to the right:

Add '-0.3' to each side of the equation.
0.3 + -0.9x + -0.3 + x2 = 0 + -0.3

Reorder the terms:
0.3 + -0.3 + -0.9x + x2 = 0 + -0.3

Combine like terms: 0.3 + -0.3 = 0.0
0.0 + -0.9x + x2 = 0 + -0.3
-0.9x + x2 = 0 + -0.3

Combine like terms: 0 + -0.3 = -0.3
-0.9x + x2 = -0.3

The x term is -0.9x.  Take half its coefficient (-0.45).
Square it (0.2025) and add it to both sides.

Add '0.2025' to each side of the equation.
-0.9x + 0.2025 + x2 = -0.3 + 0.2025

Reorder the terms:
0.2025 + -0.9x + x2 = -0.3 + 0.2025

Combine like terms: -0.3 + 0.2025 = -0.0975
0.2025 + -0.9x + x2 = -0.0975

Factor a perfect square on the left side:
(x + -0.45)(x + -0.45) = -0.0975

Can't calculate square root of the right side.

The solution to this equation could not be determined.