(2x-3)(2x-3)+5x=(x-3)(4x+11)

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Solution for (2x-3)(2x-3)+5x=(x-3)(4x+11) equation: 


Simplifying
(2x + -3)(2x + -3) + 5x = (x + -3)(4x + 11)

Reorder the terms:
(-3 + 2x)(2x + -3) + 5x = (x + -3)(4x + 11)

Reorder the terms:
(-3 + 2x)(-3 + 2x) + 5x = (x + -3)(4x + 11)

Multiply (-3 + 2x) * (-3 + 2x)
(-3(-3 + 2x) + 2x * (-3 + 2x)) + 5x = (x + -3)(4x + 11)
((-3 * -3 + 2x * -3) + 2x * (-3 + 2x)) + 5x = (x + -3)(4x + 11)
((9 + -6x) + 2x * (-3 + 2x)) + 5x = (x + -3)(4x + 11)
(9 + -6x + (-3 * 2x + 2x * 2x)) + 5x = (x + -3)(4x + 11)
(9 + -6x + (-6x + 4x2)) + 5x = (x + -3)(4x + 11)

Combine like terms: -6x + -6x = -12x
(9 + -12x + 4x2) + 5x = (x + -3)(4x + 11)

Reorder the terms:
9 + -12x + 5x + 4x2 = (x + -3)(4x + 11)

Combine like terms: -12x + 5x = -7x
9 + -7x + 4x2 = (x + -3)(4x + 11)

Reorder the terms:
9 + -7x + 4x2 = (-3 + x)(4x + 11)

Reorder the terms:
9 + -7x + 4x2 = (-3 + x)(11 + 4x)

Multiply (-3 + x) * (11 + 4x)
9 + -7x + 4x2 = (-3(11 + 4x) + x(11 + 4x))
9 + -7x + 4x2 = ((11 * -3 + 4x * -3) + x(11 + 4x))
9 + -7x + 4x2 = ((-33 + -12x) + x(11 + 4x))
9 + -7x + 4x2 = (-33 + -12x + (11 * x + 4x * x))
9 + -7x + 4x2 = (-33 + -12x + (11x + 4x2))

Combine like terms: -12x + 11x = -1x
9 + -7x + 4x2 = (-33 + -1x + 4x2)

Add '-4x2' to each side of the equation.
9 + -7x + 4x2 + -4x2 = -33 + -1x + 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
9 + -7x + 0 = -33 + -1x + 4x2 + -4x2
9 + -7x = -33 + -1x + 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
9 + -7x = -33 + -1x + 0
9 + -7x = -33 + -1x

Solving
9 + -7x = -33 + -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.
9 + -7x + x = -33 + -1x + x

Combine like terms: -7x + x = -6x
9 + -6x = -33 + -1x + x

Combine like terms: -1x + x = 0
9 + -6x = -33 + 0
9 + -6x = -33

Add '-9' to each side of the equation.
9 + -9 + -6x = -33 + -9

Combine like terms: 9 + -9 = 0
0 + -6x = -33 + -9
-6x = -33 + -9

Combine like terms: -33 + -9 = -42
-6x = -42

Divide each side by '-6'.
x = 7

Simplifying
x = 7

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