x(2x-8)=(2x+7)(x+6)

Solution for x(2x-8)=(2x+7)(x+6) equation:

Simplifying
x(2x + -8) = (2x + 7)(x + 6)

Reorder the terms:
x(-8 + 2x) = (2x + 7)(x + 6)
(-8 * x + 2x * x) = (2x + 7)(x + 6)
(-8x + 2x2) = (2x + 7)(x + 6)

Reorder the terms:
-8x + 2x2 = (7 + 2x)(x + 6)

Reorder the terms:
-8x + 2x2 = (7 + 2x)(6 + x)

Multiply (7 + 2x) * (6 + x)
-8x + 2x2 = (7(6 + x) + 2x * (6 + x))
-8x + 2x2 = ((6 * 7 + x * 7) + 2x * (6 + x))
-8x + 2x2 = ((42 + 7x) + 2x * (6 + x))
-8x + 2x2 = (42 + 7x + (6 * 2x + x * 2x))
-8x + 2x2 = (42 + 7x + (12x + 2x2))

Combine like terms: 7x + 12x = 19x
-8x + 2x2 = (42 + 19x + 2x2)

Add '-2x2' to each side of the equation.
-8x + 2x2 + -2x2 = 42 + 19x + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-8x + 0 = 42 + 19x + 2x2 + -2x2
-8x = 42 + 19x + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-8x = 42 + 19x + 0
-8x = 42 + 19x

Solving
-8x = 42 + 19x

Solving for variable 'x'.

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

Add '-19x' to each side of the equation.
-8x + -19x = 42 + 19x + -19x

Combine like terms: -8x + -19x = -27x
-27x = 42 + 19x + -19x

Combine like terms: 19x + -19x = 0
-27x = 42 + 0
-27x = 42

Divide each side by '-27'.
x = -1.555555556

Simplifying
x = -1.555555556