x(x+22)=(x+2)(x+2+10)

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Solution for x(x+22)=(x+2)(x+2+10) equation:


Simplifying
x(x + 22) = (x + 2)(x + 2 + 10)

Reorder the terms:
x(22 + x) = (x + 2)(x + 2 + 10)
(22 * x + x * x) = (x + 2)(x + 2 + 10)
(22x + x2) = (x + 2)(x + 2 + 10)

Reorder the terms:
22x + x2 = (2 + x)(x + 2 + 10)

Reorder the terms:
22x + x2 = (2 + x)(2 + 10 + x)

Combine like terms: 2 + 10 = 12
22x + x2 = (2 + x)(12 + x)

Multiply (2 + x) * (12 + x)
22x + x2 = (2(12 + x) + x(12 + x))
22x + x2 = ((12 * 2 + x * 2) + x(12 + x))
22x + x2 = ((24 + 2x) + x(12 + x))
22x + x2 = (24 + 2x + (12 * x + x * x))
22x + x2 = (24 + 2x + (12x + x2))

Combine like terms: 2x + 12x = 14x
22x + x2 = (24 + 14x + x2)

Add '-1x2' to each side of the equation.
22x + x2 + -1x2 = 24 + 14x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
22x + 0 = 24 + 14x + x2 + -1x2
22x = 24 + 14x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
22x = 24 + 14x + 0
22x = 24 + 14x

Solving
22x = 24 + 14x

Solving for variable 'x'.

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

Add '-14x' to each side of the equation.
22x + -14x = 24 + 14x + -14x

Combine like terms: 22x + -14x = 8x
8x = 24 + 14x + -14x

Combine like terms: 14x + -14x = 0
8x = 24 + 0
8x = 24

Divide each side by '8'.
x = 3

Simplifying
x = 3

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