(2x+2)*(5x+18)=(2x+12)*(5x-3)

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Solution for (2x+2)*(5x+18)=(2x+12)*(5x-3) equation: 


Simplifying
(2x + 2)(5x + 18) = (2x + 12)(5x + -3)

Reorder the terms:
(2 + 2x)(5x + 18) = (2x + 12)(5x + -3)

Reorder the terms:
(2 + 2x)(18 + 5x) = (2x + 12)(5x + -3)

Multiply (2 + 2x) * (18 + 5x)
(2(18 + 5x) + 2x * (18 + 5x)) = (2x + 12)(5x + -3)
((18 * 2 + 5x * 2) + 2x * (18 + 5x)) = (2x + 12)(5x + -3)
((36 + 10x) + 2x * (18 + 5x)) = (2x + 12)(5x + -3)
(36 + 10x + (18 * 2x + 5x * 2x)) = (2x + 12)(5x + -3)
(36 + 10x + (36x + 10x2)) = (2x + 12)(5x + -3)

Combine like terms: 10x + 36x = 46x
(36 + 46x + 10x2) = (2x + 12)(5x + -3)

Reorder the terms:
36 + 46x + 10x2 = (12 + 2x)(5x + -3)

Reorder the terms:
36 + 46x + 10x2 = (12 + 2x)(-3 + 5x)

Multiply (12 + 2x) * (-3 + 5x)
36 + 46x + 10x2 = (12(-3 + 5x) + 2x * (-3 + 5x))
36 + 46x + 10x2 = ((-3 * 12 + 5x * 12) + 2x * (-3 + 5x))
36 + 46x + 10x2 = ((-36 + 60x) + 2x * (-3 + 5x))
36 + 46x + 10x2 = (-36 + 60x + (-3 * 2x + 5x * 2x))
36 + 46x + 10x2 = (-36 + 60x + (-6x + 10x2))

Combine like terms: 60x + -6x = 54x
36 + 46x + 10x2 = (-36 + 54x + 10x2)

Add '-10x2' to each side of the equation.
36 + 46x + 10x2 + -10x2 = -36 + 54x + 10x2 + -10x2

Combine like terms: 10x2 + -10x2 = 0
36 + 46x + 0 = -36 + 54x + 10x2 + -10x2
36 + 46x = -36 + 54x + 10x2 + -10x2

Combine like terms: 10x2 + -10x2 = 0
36 + 46x = -36 + 54x + 0
36 + 46x = -36 + 54x

Solving
36 + 46x = -36 + 54x

Solving for variable 'x'.

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

Add '-54x' to each side of the equation.
36 + 46x + -54x = -36 + 54x + -54x

Combine like terms: 46x + -54x = -8x
36 + -8x = -36 + 54x + -54x

Combine like terms: 54x + -54x = 0
36 + -8x = -36 + 0
36 + -8x = -36

Add '-36' to each side of the equation.
36 + -36 + -8x = -36 + -36

Combine like terms: 36 + -36 = 0
0 + -8x = -36 + -36
-8x = -36 + -36

Combine like terms: -36 + -36 = -72
-8x = -72

Divide each side by '-8'.
x = 9

Simplifying
x = 9

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