X+(x+12)+620=(x+10)(x+22)

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Solution for X+(x+12)+620=(x+10)(x+22) equation: 


Simplifying
X + (x + 12) + 620 = (x + 10)(x + 22)

Reorder the terms:
X + (12 + x) + 620 = (x + 10)(x + 22)

Remove parenthesis around (12 + x)
X + 12 + x + 620 = (x + 10)(x + 22)

Reorder the terms:
12 + 620 + X + x = (x + 10)(x + 22)

Combine like terms: 12 + 620 = 632
632 + X + x = (x + 10)(x + 22)

Reorder the terms:
632 + X + x = (10 + x)(x + 22)

Reorder the terms:
632 + X + x = (10 + x)(22 + x)

Multiply (10 + x) * (22 + x)
632 + X + x = (10(22 + x) + x(22 + x))
632 + X + x = ((22 * 10 + x * 10) + x(22 + x))
632 + X + x = ((220 + 10x) + x(22 + x))
632 + X + x = (220 + 10x + (22 * x + x * x))
632 + X + x = (220 + 10x + (22x + x2))

Combine like terms: 10x + 22x = 32x
632 + X + x = (220 + 32x + x2)

Solving
632 + X + x = 220 + 32x + x2

Solving for variable 'X'.

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

Add '-632' to each side of the equation.
632 + X + -632 + x = 220 + 32x + -632 + x2

Reorder the terms:
632 + -632 + X + x = 220 + 32x + -632 + x2

Combine like terms: 632 + -632 = 0
0 + X + x = 220 + 32x + -632 + x2
X + x = 220 + 32x + -632 + x2

Reorder the terms:
X + x = 220 + -632 + 32x + x2

Combine like terms: 220 + -632 = -412
X + x = -412 + 32x + x2

Add '-1x' to each side of the equation.
X + x + -1x = -412 + 32x + -1x + x2

Combine like terms: x + -1x = 0
X + 0 = -412 + 32x + -1x + x2
X = -412 + 32x + -1x + x2

Combine like terms: 32x + -1x = 31x
X = -412 + 31x + x2

Simplifying
X = -412 + 31x + x2

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