(x+5)(3x+4)=(x+33)(3x-4)

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Solution for (x+5)(3x+4)=(x+33)(3x-4) equation:


Simplifying
(x + 5)(3x + 4) = (x + 33)(3x + -4)

Reorder the terms:
(5 + x)(3x + 4) = (x + 33)(3x + -4)

Reorder the terms:
(5 + x)(4 + 3x) = (x + 33)(3x + -4)

Multiply (5 + x) * (4 + 3x)
(5(4 + 3x) + x(4 + 3x)) = (x + 33)(3x + -4)
((4 * 5 + 3x * 5) + x(4 + 3x)) = (x + 33)(3x + -4)
((20 + 15x) + x(4 + 3x)) = (x + 33)(3x + -4)
(20 + 15x + (4 * x + 3x * x)) = (x + 33)(3x + -4)
(20 + 15x + (4x + 3x2)) = (x + 33)(3x + -4)

Combine like terms: 15x + 4x = 19x
(20 + 19x + 3x2) = (x + 33)(3x + -4)

Reorder the terms:
20 + 19x + 3x2 = (33 + x)(3x + -4)

Reorder the terms:
20 + 19x + 3x2 = (33 + x)(-4 + 3x)

Multiply (33 + x) * (-4 + 3x)
20 + 19x + 3x2 = (33(-4 + 3x) + x(-4 + 3x))
20 + 19x + 3x2 = ((-4 * 33 + 3x * 33) + x(-4 + 3x))
20 + 19x + 3x2 = ((-132 + 99x) + x(-4 + 3x))
20 + 19x + 3x2 = (-132 + 99x + (-4 * x + 3x * x))
20 + 19x + 3x2 = (-132 + 99x + (-4x + 3x2))

Combine like terms: 99x + -4x = 95x
20 + 19x + 3x2 = (-132 + 95x + 3x2)

Add '-3x2' to each side of the equation.
20 + 19x + 3x2 + -3x2 = -132 + 95x + 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
20 + 19x + 0 = -132 + 95x + 3x2 + -3x2
20 + 19x = -132 + 95x + 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
20 + 19x = -132 + 95x + 0
20 + 19x = -132 + 95x

Solving
20 + 19x = -132 + 95x

Solving for variable 'x'.

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

Add '-95x' to each side of the equation.
20 + 19x + -95x = -132 + 95x + -95x

Combine like terms: 19x + -95x = -76x
20 + -76x = -132 + 95x + -95x

Combine like terms: 95x + -95x = 0
20 + -76x = -132 + 0
20 + -76x = -132

Add '-20' to each side of the equation.
20 + -20 + -76x = -132 + -20

Combine like terms: 20 + -20 = 0
0 + -76x = -132 + -20
-76x = -132 + -20

Combine like terms: -132 + -20 = -152
-76x = -152

Divide each side by '-76'.
x = 2

Simplifying
x = 2

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