x(2x-8)=(2x+7)(x-4)

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Solution for x(2x-8)=(2x+7)(x-4) equation:


Simplifying
x(2x + -8) = (2x + 7)(x + -4)

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

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

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

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

Combine like terms: 7x + -8x = -1x
-8x + 2x2 = (-28 + -1x + 2x2)

Add '-2x2' to each side of the equation.
-8x + 2x2 + -2x2 = -28 + -1x + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-8x + 0 = -28 + -1x + 2x2 + -2x2
-8x = -28 + -1x + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-8x = -28 + -1x + 0
-8x = -28 + -1x

Solving
-8x = -28 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-8x + x = -28 + -1x + x

Combine like terms: -8x + x = -7x
-7x = -28 + -1x + x

Combine like terms: -1x + x = 0
-7x = -28 + 0
-7x = -28

Divide each side by '-7'.
x = 4

Simplifying
x = 4

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