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

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


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

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

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

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

Combine like terms: -1x + 3x = 2x
4(-3 + 2x + x2) = (x + -7)(4x + 2)
(-3 * 4 + 2x * 4 + x2 * 4) = (x + -7)(4x + 2)
(-12 + 8x + 4x2) = (x + -7)(4x + 2)

Reorder the terms:
-12 + 8x + 4x2 = (-7 + x)(4x + 2)

Reorder the terms:
-12 + 8x + 4x2 = (-7 + x)(2 + 4x)

Multiply (-7 + x) * (2 + 4x)
-12 + 8x + 4x2 = (-7(2 + 4x) + x(2 + 4x))
-12 + 8x + 4x2 = ((2 * -7 + 4x * -7) + x(2 + 4x))
-12 + 8x + 4x2 = ((-14 + -28x) + x(2 + 4x))
-12 + 8x + 4x2 = (-14 + -28x + (2 * x + 4x * x))
-12 + 8x + 4x2 = (-14 + -28x + (2x + 4x2))

Combine like terms: -28x + 2x = -26x
-12 + 8x + 4x2 = (-14 + -26x + 4x2)

Add '-4x2' to each side of the equation.
-12 + 8x + 4x2 + -4x2 = -14 + -26x + 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
-12 + 8x + 0 = -14 + -26x + 4x2 + -4x2
-12 + 8x = -14 + -26x + 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
-12 + 8x = -14 + -26x + 0
-12 + 8x = -14 + -26x

Solving
-12 + 8x = -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.
-12 + 8x + 26x = -14 + -26x + 26x

Combine like terms: 8x + 26x = 34x
-12 + 34x = -14 + -26x + 26x

Combine like terms: -26x + 26x = 0
-12 + 34x = -14 + 0
-12 + 34x = -14

Add '12' to each side of the equation.
-12 + 12 + 34x = -14 + 12

Combine like terms: -12 + 12 = 0
0 + 34x = -14 + 12
34x = -14 + 12

Combine like terms: -14 + 12 = -2
34x = -2

Divide each side by '34'.
x = -0.05882352941

Simplifying
x = -0.05882352941

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