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

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


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

Reorder the terms:
3x(2 + x) + 5 = 3(x + 2)(x + 4)
(2 * 3x + x * 3x) + 5 = 3(x + 2)(x + 4)
(6x + 3x2) + 5 = 3(x + 2)(x + 4)

Reorder the terms:
5 + 6x + 3x2 = 3(x + 2)(x + 4)

Reorder the terms:
5 + 6x + 3x2 = 3(2 + x)(x + 4)

Reorder the terms:
5 + 6x + 3x2 = 3(2 + x)(4 + x)

Multiply (2 + x) * (4 + x)
5 + 6x + 3x2 = 3(2(4 + x) + x(4 + x))
5 + 6x + 3x2 = 3((4 * 2 + x * 2) + x(4 + x))
5 + 6x + 3x2 = 3((8 + 2x) + x(4 + x))
5 + 6x + 3x2 = 3(8 + 2x + (4 * x + x * x))
5 + 6x + 3x2 = 3(8 + 2x + (4x + x2))

Combine like terms: 2x + 4x = 6x
5 + 6x + 3x2 = 3(8 + 6x + x2)
5 + 6x + 3x2 = (8 * 3 + 6x * 3 + x2 * 3)
5 + 6x + 3x2 = (24 + 18x + 3x2)

Add '-3x2' to each side of the equation.
5 + 6x + 3x2 + -3x2 = 24 + 18x + 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
5 + 6x + 0 = 24 + 18x + 3x2 + -3x2
5 + 6x = 24 + 18x + 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
5 + 6x = 24 + 18x + 0
5 + 6x = 24 + 18x

Solving
5 + 6x = 24 + 18x

Solving for variable 'x'.

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

Add '-18x' to each side of the equation.
5 + 6x + -18x = 24 + 18x + -18x

Combine like terms: 6x + -18x = -12x
5 + -12x = 24 + 18x + -18x

Combine like terms: 18x + -18x = 0
5 + -12x = 24 + 0
5 + -12x = 24

Add '-5' to each side of the equation.
5 + -5 + -12x = 24 + -5

Combine like terms: 5 + -5 = 0
0 + -12x = 24 + -5
-12x = 24 + -5

Combine like terms: 24 + -5 = 19
-12x = 19

Divide each side by '-12'.
x = -1.583333333

Simplifying
x = -1.583333333

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