(x-6)(x+8)+167=(x+14)(x)

Solution for (x-6)(x+8)+167=(x+14)(x) equation:

Simplifying
(x + -6)(x + 8) + 167 = (x + 14)(x)

Reorder the terms:
(-6 + x)(x + 8) + 167 = (x + 14)(x)

Reorder the terms:
(-6 + x)(8 + x) + 167 = (x + 14)(x)

Multiply (-6 + x) * (8 + x)
(-6(8 + x) + x(8 + x)) + 167 = (x + 14)(x)
((8 * -6 + x * -6) + x(8 + x)) + 167 = (x + 14)(x)
((-48 + -6x) + x(8 + x)) + 167 = (x + 14)(x)
(-48 + -6x + (8 * x + x * x)) + 167 = (x + 14)(x)
(-48 + -6x + (8x + x2)) + 167 = (x + 14)(x)

Combine like terms: -6x + 8x = 2x
(-48 + 2x + x2) + 167 = (x + 14)(x)

Reorder the terms:
-48 + 167 + 2x + x2 = (x + 14)(x)

Combine like terms: -48 + 167 = 119
119 + 2x + x2 = (x + 14)(x)

Reorder the terms:
119 + 2x + x2 = (14 + x)(x)

Reorder the terms for easier multiplication:
119 + 2x + x2 = x(14 + x)
119 + 2x + x2 = (14 * x + x * x)
119 + 2x + x2 = (14x + x2)

Add '-1x2' to each side of the equation.
119 + 2x + x2 + -1x2 = 14x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
119 + 2x + 0 = 14x + x2 + -1x2
119 + 2x = 14x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
119 + 2x = 14x + 0
119 + 2x = 14x

Solving
119 + 2x = 14x

Solving for variable 'x'.

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

Add '-14x' to each side of the equation.
119 + 2x + -14x = 14x + -14x

Combine like terms: 2x + -14x = -12x
119 + -12x = 14x + -14x

Combine like terms: 14x + -14x = 0
119 + -12x = 0

Add '-119' to each side of the equation.
119 + -119 + -12x = 0 + -119

Combine like terms: 119 + -119 = 0
0 + -12x = 0 + -119
-12x = 0 + -119

Combine like terms: 0 + -119 = -119
-12x = -119

Divide each side by '-12'.
x = 9.916666667

Simplifying
x = 9.916666667