3x(x+3)-8(x+2)=3(x+2)(x+3)

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Solution for 3x(x+3)-8(x+2)=3(x+2)(x+3) equation: 


Simplifying
3x(x + 3) + -8(x + 2) = 3(x + 2)(x + 3)

Reorder the terms:
3x(3 + x) + -8(x + 2) = 3(x + 2)(x + 3)
(3 * 3x + x * 3x) + -8(x + 2) = 3(x + 2)(x + 3)
(9x + 3x2) + -8(x + 2) = 3(x + 2)(x + 3)

Reorder the terms:
9x + 3x2 + -8(2 + x) = 3(x + 2)(x + 3)
9x + 3x2 + (2 * -8 + x * -8) = 3(x + 2)(x + 3)
9x + 3x2 + (-16 + -8x) = 3(x + 2)(x + 3)

Reorder the terms:
-16 + 9x + -8x + 3x2 = 3(x + 2)(x + 3)

Combine like terms: 9x + -8x = 1x
-16 + 1x + 3x2 = 3(x + 2)(x + 3)

Reorder the terms:
-16 + 1x + 3x2 = 3(2 + x)(x + 3)

Reorder the terms:
-16 + 1x + 3x2 = 3(2 + x)(3 + x)

Multiply (2 + x) * (3 + x)
-16 + 1x + 3x2 = 3(2(3 + x) + x(3 + x))
-16 + 1x + 3x2 = 3((3 * 2 + x * 2) + x(3 + x))
-16 + 1x + 3x2 = 3((6 + 2x) + x(3 + x))
-16 + 1x + 3x2 = 3(6 + 2x + (3 * x + x * x))
-16 + 1x + 3x2 = 3(6 + 2x + (3x + x2))

Combine like terms: 2x + 3x = 5x
-16 + 1x + 3x2 = 3(6 + 5x + x2)
-16 + 1x + 3x2 = (6 * 3 + 5x * 3 + x2 * 3)
-16 + 1x + 3x2 = (18 + 15x + 3x2)

Add '-3x2' to each side of the equation.
-16 + 1x + 3x2 + -3x2 = 18 + 15x + 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
-16 + 1x + 0 = 18 + 15x + 3x2 + -3x2
-16 + 1x = 18 + 15x + 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
-16 + 1x = 18 + 15x + 0
-16 + 1x = 18 + 15x

Solving
-16 + 1x = 18 + 15x

Solving for variable 'x'.

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

Add '-15x' to each side of the equation.
-16 + 1x + -15x = 18 + 15x + -15x

Combine like terms: 1x + -15x = -14x
-16 + -14x = 18 + 15x + -15x

Combine like terms: 15x + -15x = 0
-16 + -14x = 18 + 0
-16 + -14x = 18

Add '16' to each side of the equation.
-16 + 16 + -14x = 18 + 16

Combine like terms: -16 + 16 = 0
0 + -14x = 18 + 16
-14x = 18 + 16

Combine like terms: 18 + 16 = 34
-14x = 34

Divide each side by '-14'.
x = -2.428571429

Simplifying
x = -2.428571429

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