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

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


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

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

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

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

Combine like terms: -1x + 6x = 5x
(-2 + 5x + 3x2) = 3(x + 4)(x + -1) + -2

Reorder the terms:
-2 + 5x + 3x2 = 3(4 + x)(x + -1) + -2

Reorder the terms:
-2 + 5x + 3x2 = 3(4 + x)(-1 + x) + -2

Multiply (4 + x) * (-1 + x)
-2 + 5x + 3x2 = 3(4(-1 + x) + x(-1 + x)) + -2
-2 + 5x + 3x2 = 3((-1 * 4 + x * 4) + x(-1 + x)) + -2
-2 + 5x + 3x2 = 3((-4 + 4x) + x(-1 + x)) + -2
-2 + 5x + 3x2 = 3(-4 + 4x + (-1 * x + x * x)) + -2
-2 + 5x + 3x2 = 3(-4 + 4x + (-1x + x2)) + -2

Combine like terms: 4x + -1x = 3x
-2 + 5x + 3x2 = 3(-4 + 3x + x2) + -2
-2 + 5x + 3x2 = (-4 * 3 + 3x * 3 + x2 * 3) + -2
-2 + 5x + 3x2 = (-12 + 9x + 3x2) + -2

Reorder the terms:
-2 + 5x + 3x2 = -12 + -2 + 9x + 3x2

Combine like terms: -12 + -2 = -14
-2 + 5x + 3x2 = -14 + 9x + 3x2

Add '-3x2' to each side of the equation.
-2 + 5x + 3x2 + -3x2 = -14 + 9x + 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
-2 + 5x + 0 = -14 + 9x + 3x2 + -3x2
-2 + 5x = -14 + 9x + 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
-2 + 5x = -14 + 9x + 0
-2 + 5x = -14 + 9x

Solving
-2 + 5x = -14 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
-2 + 5x + -9x = -14 + 9x + -9x

Combine like terms: 5x + -9x = -4x
-2 + -4x = -14 + 9x + -9x

Combine like terms: 9x + -9x = 0
-2 + -4x = -14 + 0
-2 + -4x = -14

Add '2' to each side of the equation.
-2 + 2 + -4x = -14 + 2

Combine like terms: -2 + 2 = 0
0 + -4x = -14 + 2
-4x = -14 + 2

Combine like terms: -14 + 2 = -12
-4x = -12

Divide each side by '-4'.
x = 3

Simplifying
x = 3

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