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

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


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

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

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

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

Multiply (6 + 8x) * (-7 + x)
-8x + 8x2 = (6(-7 + x) + 8x * (-7 + x))
-8x + 8x2 = ((-7 * 6 + x * 6) + 8x * (-7 + x))
-8x + 8x2 = ((-42 + 6x) + 8x * (-7 + x))
-8x + 8x2 = (-42 + 6x + (-7 * 8x + x * 8x))
-8x + 8x2 = (-42 + 6x + (-56x + 8x2))

Combine like terms: 6x + -56x = -50x
-8x + 8x2 = (-42 + -50x + 8x2)

Add '-8x2' to each side of the equation.
-8x + 8x2 + -8x2 = -42 + -50x + 8x2 + -8x2

Combine like terms: 8x2 + -8x2 = 0
-8x + 0 = -42 + -50x + 8x2 + -8x2
-8x = -42 + -50x + 8x2 + -8x2

Combine like terms: 8x2 + -8x2 = 0
-8x = -42 + -50x + 0
-8x = -42 + -50x

Solving
-8x = -42 + -50x

Solving for variable 'x'.

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

Add '50x' to each side of the equation.
-8x + 50x = -42 + -50x + 50x

Combine like terms: -8x + 50x = 42x
42x = -42 + -50x + 50x

Combine like terms: -50x + 50x = 0
42x = -42 + 0
42x = -42

Divide each side by '42'.
x = -1

Simplifying
x = -1

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