X+2(2x)(20)-(2)(20)(5x)=(3)(5x)(2x)

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Solution for X+2(2x)(20)-(2)(20)(5x)=(3)(5x)(2x) equation:


Simplifying
X + 2(2x)(20) + -1(2)(20)(5x) = (3)(5x)(2x)

Remove parenthesis around (2x)
X + 2 * 2x(20) + -1(2)(20)(5x) = (3)(5x)(2x)

Reorder the terms for easier multiplication:
X + 2 * 2 * 20x + -1(2)(20)(5x) = (3)(5x)(2x)

Multiply 2 * 2
X + 4 * 20x + -1(2)(20)(5x) = (3)(5x)(2x)

Multiply 4 * 20
X + 80x + -1(2)(20)(5x) = (3)(5x)(2x)

Remove parenthesis around (5x)
X + 80x + -1 * 2 * 20 * 5x = (3)(5x)(2x)

Multiply -1 * 2
X + 80x + -2 * 20 * 5x = (3)(5x)(2x)

Multiply -2 * 20
X + 80x + -40 * 5x = (3)(5x)(2x)

Multiply -40 * 5
X + 80x + -200x = (3)(5x)(2x)

Combine like terms: 80x + -200x = -120x
X + -120x = (3)(5x)(2x)

Remove parenthesis around (5x)
X + -120x = 3 * 5x(2x)

Remove parenthesis around (2x)
X + -120x = 3 * 5x * 2x

Reorder the terms for easier multiplication:
X + -120x = 3 * 5 * 2x * x

Multiply 3 * 5
X + -120x = 15 * 2x * x

Multiply 15 * 2
X + -120x = 30x * x

Multiply x * x
X + -120x = 30x2

Solving
X + -120x = 30x2

Solving for variable 'X'.

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

Add '120x' to each side of the equation.
X + -120x + 120x = 120x + 30x2

Combine like terms: -120x + 120x = 0
X + 0 = 120x + 30x2
X = 120x + 30x2

Simplifying
X = 120x + 30x2

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