(2x-50)(6x+11)=(3x-55)(4x-56)

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Solution for (2x-50)(6x+11)=(3x-55)(4x-56) equation: 


Simplifying
(2x + -50)(6x + 11) = (3x + -55)(4x + -56)

Reorder the terms:
(-50 + 2x)(6x + 11) = (3x + -55)(4x + -56)

Reorder the terms:
(-50 + 2x)(11 + 6x) = (3x + -55)(4x + -56)

Multiply (-50 + 2x) * (11 + 6x)
(-50(11 + 6x) + 2x * (11 + 6x)) = (3x + -55)(4x + -56)
((11 * -50 + 6x * -50) + 2x * (11 + 6x)) = (3x + -55)(4x + -56)
((-550 + -300x) + 2x * (11 + 6x)) = (3x + -55)(4x + -56)
(-550 + -300x + (11 * 2x + 6x * 2x)) = (3x + -55)(4x + -56)
(-550 + -300x + (22x + 12x2)) = (3x + -55)(4x + -56)

Combine like terms: -300x + 22x = -278x
(-550 + -278x + 12x2) = (3x + -55)(4x + -56)

Reorder the terms:
-550 + -278x + 12x2 = (-55 + 3x)(4x + -56)

Reorder the terms:
-550 + -278x + 12x2 = (-55 + 3x)(-56 + 4x)

Multiply (-55 + 3x) * (-56 + 4x)
-550 + -278x + 12x2 = (-55(-56 + 4x) + 3x * (-56 + 4x))
-550 + -278x + 12x2 = ((-56 * -55 + 4x * -55) + 3x * (-56 + 4x))
-550 + -278x + 12x2 = ((3080 + -220x) + 3x * (-56 + 4x))
-550 + -278x + 12x2 = (3080 + -220x + (-56 * 3x + 4x * 3x))
-550 + -278x + 12x2 = (3080 + -220x + (-168x + 12x2))

Combine like terms: -220x + -168x = -388x
-550 + -278x + 12x2 = (3080 + -388x + 12x2)

Add '-12x2' to each side of the equation.
-550 + -278x + 12x2 + -12x2 = 3080 + -388x + 12x2 + -12x2

Combine like terms: 12x2 + -12x2 = 0
-550 + -278x + 0 = 3080 + -388x + 12x2 + -12x2
-550 + -278x = 3080 + -388x + 12x2 + -12x2

Combine like terms: 12x2 + -12x2 = 0
-550 + -278x = 3080 + -388x + 0
-550 + -278x = 3080 + -388x

Solving
-550 + -278x = 3080 + -388x

Solving for variable 'x'.

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

Add '388x' to each side of the equation.
-550 + -278x + 388x = 3080 + -388x + 388x

Combine like terms: -278x + 388x = 110x
-550 + 110x = 3080 + -388x + 388x

Combine like terms: -388x + 388x = 0
-550 + 110x = 3080 + 0
-550 + 110x = 3080

Add '550' to each side of the equation.
-550 + 550 + 110x = 3080 + 550

Combine like terms: -550 + 550 = 0
0 + 110x = 3080 + 550
110x = 3080 + 550

Combine like terms: 3080 + 550 = 3630
110x = 3630

Divide each side by '110'.
x = 33

Simplifying
x = 33

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