(4x-1)(x+3)=(x-7)(4x+2)

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Solution for (4x-1)(x+3)=(x-7)(4x+2) equation:


Simplifying
(4x + -1)(x + 3) = (x + -7)(4x + 2)

Reorder the terms:
(-1 + 4x)(x + 3) = (x + -7)(4x + 2)

Reorder the terms:
(-1 + 4x)(3 + x) = (x + -7)(4x + 2)

Multiply (-1 + 4x) * (3 + x)
(-1(3 + x) + 4x * (3 + x)) = (x + -7)(4x + 2)
((3 * -1 + x * -1) + 4x * (3 + x)) = (x + -7)(4x + 2)
((-3 + -1x) + 4x * (3 + x)) = (x + -7)(4x + 2)
(-3 + -1x + (3 * 4x + x * 4x)) = (x + -7)(4x + 2)
(-3 + -1x + (12x + 4x2)) = (x + -7)(4x + 2)

Combine like terms: -1x + 12x = 11x
(-3 + 11x + 4x2) = (x + -7)(4x + 2)

Reorder the terms:
-3 + 11x + 4x2 = (-7 + x)(4x + 2)

Reorder the terms:
-3 + 11x + 4x2 = (-7 + x)(2 + 4x)

Multiply (-7 + x) * (2 + 4x)
-3 + 11x + 4x2 = (-7(2 + 4x) + x(2 + 4x))
-3 + 11x + 4x2 = ((2 * -7 + 4x * -7) + x(2 + 4x))
-3 + 11x + 4x2 = ((-14 + -28x) + x(2 + 4x))
-3 + 11x + 4x2 = (-14 + -28x + (2 * x + 4x * x))
-3 + 11x + 4x2 = (-14 + -28x + (2x + 4x2))

Combine like terms: -28x + 2x = -26x
-3 + 11x + 4x2 = (-14 + -26x + 4x2)

Add '-4x2' to each side of the equation.
-3 + 11x + 4x2 + -4x2 = -14 + -26x + 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
-3 + 11x + 0 = -14 + -26x + 4x2 + -4x2
-3 + 11x = -14 + -26x + 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
-3 + 11x = -14 + -26x + 0
-3 + 11x = -14 + -26x

Solving
-3 + 11x = -14 + -26x

Solving for variable 'x'.

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

Add '26x' to each side of the equation.
-3 + 11x + 26x = -14 + -26x + 26x

Combine like terms: 11x + 26x = 37x
-3 + 37x = -14 + -26x + 26x

Combine like terms: -26x + 26x = 0
-3 + 37x = -14 + 0
-3 + 37x = -14

Add '3' to each side of the equation.
-3 + 3 + 37x = -14 + 3

Combine like terms: -3 + 3 = 0
0 + 37x = -14 + 3
37x = -14 + 3

Combine like terms: -14 + 3 = -11
37x = -11

Divide each side by '37'.
x = -0.2972972973

Simplifying
x = -0.2972972973

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