3(x-2)(3x+4)=4+3(x-1)(3x-2)+2x

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Solution for 3(x-2)(3x+4)=4+3(x-1)(3x-2)+2x equation:


Simplifying
3(x + -2)(3x + 4) = 4 + 3(x + -1)(3x + -2) + 2x

Reorder the terms:
3(-2 + x)(3x + 4) = 4 + 3(x + -1)(3x + -2) + 2x

Reorder the terms:
3(-2 + x)(4 + 3x) = 4 + 3(x + -1)(3x + -2) + 2x

Multiply (-2 + x) * (4 + 3x)
3(-2(4 + 3x) + x(4 + 3x)) = 4 + 3(x + -1)(3x + -2) + 2x
3((4 * -2 + 3x * -2) + x(4 + 3x)) = 4 + 3(x + -1)(3x + -2) + 2x
3((-8 + -6x) + x(4 + 3x)) = 4 + 3(x + -1)(3x + -2) + 2x
3(-8 + -6x + (4 * x + 3x * x)) = 4 + 3(x + -1)(3x + -2) + 2x
3(-8 + -6x + (4x + 3x2)) = 4 + 3(x + -1)(3x + -2) + 2x

Combine like terms: -6x + 4x = -2x
3(-8 + -2x + 3x2) = 4 + 3(x + -1)(3x + -2) + 2x
(-8 * 3 + -2x * 3 + 3x2 * 3) = 4 + 3(x + -1)(3x + -2) + 2x
(-24 + -6x + 9x2) = 4 + 3(x + -1)(3x + -2) + 2x

Reorder the terms:
-24 + -6x + 9x2 = 4 + 3(-1 + x)(3x + -2) + 2x

Reorder the terms:
-24 + -6x + 9x2 = 4 + 3(-1 + x)(-2 + 3x) + 2x

Multiply (-1 + x) * (-2 + 3x)
-24 + -6x + 9x2 = 4 + 3(-1(-2 + 3x) + x(-2 + 3x)) + 2x
-24 + -6x + 9x2 = 4 + 3((-2 * -1 + 3x * -1) + x(-2 + 3x)) + 2x
-24 + -6x + 9x2 = 4 + 3((2 + -3x) + x(-2 + 3x)) + 2x
-24 + -6x + 9x2 = 4 + 3(2 + -3x + (-2 * x + 3x * x)) + 2x
-24 + -6x + 9x2 = 4 + 3(2 + -3x + (-2x + 3x2)) + 2x

Combine like terms: -3x + -2x = -5x
-24 + -6x + 9x2 = 4 + 3(2 + -5x + 3x2) + 2x
-24 + -6x + 9x2 = 4 + (2 * 3 + -5x * 3 + 3x2 * 3) + 2x
-24 + -6x + 9x2 = 4 + (6 + -15x + 9x2) + 2x

Reorder the terms:
-24 + -6x + 9x2 = 4 + 6 + -15x + 2x + 9x2

Combine like terms: 4 + 6 = 10
-24 + -6x + 9x2 = 10 + -15x + 2x + 9x2

Combine like terms: -15x + 2x = -13x
-24 + -6x + 9x2 = 10 + -13x + 9x2

Add '-9x2' to each side of the equation.
-24 + -6x + 9x2 + -9x2 = 10 + -13x + 9x2 + -9x2

Combine like terms: 9x2 + -9x2 = 0
-24 + -6x + 0 = 10 + -13x + 9x2 + -9x2
-24 + -6x = 10 + -13x + 9x2 + -9x2

Combine like terms: 9x2 + -9x2 = 0
-24 + -6x = 10 + -13x + 0
-24 + -6x = 10 + -13x

Solving
-24 + -6x = 10 + -13x

Solving for variable 'x'.

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

Add '13x' to each side of the equation.
-24 + -6x + 13x = 10 + -13x + 13x

Combine like terms: -6x + 13x = 7x
-24 + 7x = 10 + -13x + 13x

Combine like terms: -13x + 13x = 0
-24 + 7x = 10 + 0
-24 + 7x = 10

Add '24' to each side of the equation.
-24 + 24 + 7x = 10 + 24

Combine like terms: -24 + 24 = 0
0 + 7x = 10 + 24
7x = 10 + 24

Combine like terms: 10 + 24 = 34
7x = 34

Divide each side by '7'.
x = 4.857142857

Simplifying
x = 4.857142857

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