(5x-6)(x+7)=(x-14)(1-2x)

Solution for (5x-6)(x+7)=(x-14)(1-2x) equation:

Simplifying
(5x + -6)(x + 7) = (x + -14)(1 + -2x)

Reorder the terms:
(-6 + 5x)(x + 7) = (x + -14)(1 + -2x)

Reorder the terms:
(-6 + 5x)(7 + x) = (x + -14)(1 + -2x)

Multiply (-6 + 5x) * (7 + x)
(-6(7 + x) + 5x * (7 + x)) = (x + -14)(1 + -2x)
((7 * -6 + x * -6) + 5x * (7 + x)) = (x + -14)(1 + -2x)
((-42 + -6x) + 5x * (7 + x)) = (x + -14)(1 + -2x)
(-42 + -6x + (7 * 5x + x * 5x)) = (x + -14)(1 + -2x)
(-42 + -6x + (35x + 5x2)) = (x + -14)(1 + -2x)

Combine like terms: -6x + 35x = 29x
(-42 + 29x + 5x2) = (x + -14)(1 + -2x)

Reorder the terms:
-42 + 29x + 5x2 = (-14 + x)(1 + -2x)

Multiply (-14 + x) * (1 + -2x)
-42 + 29x + 5x2 = (-14(1 + -2x) + x(1 + -2x))
-42 + 29x + 5x2 = ((1 * -14 + -2x * -14) + x(1 + -2x))
-42 + 29x + 5x2 = ((-14 + 28x) + x(1 + -2x))
-42 + 29x + 5x2 = (-14 + 28x + (1 * x + -2x * x))
-42 + 29x + 5x2 = (-14 + 28x + (1x + -2x2))

Combine like terms: 28x + 1x = 29x
-42 + 29x + 5x2 = (-14 + 29x + -2x2)

Add '-29x' to each side of the equation.
-42 + 29x + -29x + 5x2 = -14 + 29x + -29x + -2x2

Combine like terms: 29x + -29x = 0
-42 + 0 + 5x2 = -14 + 29x + -29x + -2x2
-42 + 5x2 = -14 + 29x + -29x + -2x2

Combine like terms: 29x + -29x = 0
-42 + 5x2 = -14 + 0 + -2x2
-42 + 5x2 = -14 + -2x2

Solving
-42 + 5x2 = -14 + -2x2

Solving for variable 'x'.

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

Add '2x2' to each side of the equation.
-42 + 5x2 + 2x2 = -14 + -2x2 + 2x2

Combine like terms: 5x2 + 2x2 = 7x2
-42 + 7x2 = -14 + -2x2 + 2x2

Combine like terms: -2x2 + 2x2 = 0
-42 + 7x2 = -14 + 0
-42 + 7x2 = -14

Add '42' to each side of the equation.
-42 + 42 + 7x2 = -14 + 42

Combine like terms: -42 + 42 = 0
0 + 7x2 = -14 + 42
7x2 = -14 + 42

Combine like terms: -14 + 42 = 28
7x2 = 28

Divide each side by '7'.
x2 = 4

Simplifying
x2 = 4

Take the square root of each side:
x = {-2, 2}