4(x+2)(x+1)-24=6(x^2-3x+2)-2(x^2-1)

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Solution for 4(x+2)(x+1)-24=6(x^2-3x+2)-2(x^2-1) equation: 


Simplifying
4(x + 2)(x + 1) + -24 = 6(x2 + -3x + 2) + -2(x2 + -1)

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

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

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

Combine like terms: 2x + 1x = 3x
4(2 + 3x + x2) + -24 = 6(x2 + -3x + 2) + -2(x2 + -1)
(2 * 4 + 3x * 4 + x2 * 4) + -24 = 6(x2 + -3x + 2) + -2(x2 + -1)
(8 + 12x + 4x2) + -24 = 6(x2 + -3x + 2) + -2(x2 + -1)

Reorder the terms:
8 + -24 + 12x + 4x2 = 6(x2 + -3x + 2) + -2(x2 + -1)

Combine like terms: 8 + -24 = -16
-16 + 12x + 4x2 = 6(x2 + -3x + 2) + -2(x2 + -1)

Reorder the terms:
-16 + 12x + 4x2 = 6(2 + -3x + x2) + -2(x2 + -1)
-16 + 12x + 4x2 = (2 * 6 + -3x * 6 + x2 * 6) + -2(x2 + -1)
-16 + 12x + 4x2 = (12 + -18x + 6x2) + -2(x2 + -1)

Reorder the terms:
-16 + 12x + 4x2 = 12 + -18x + 6x2 + -2(-1 + x2)
-16 + 12x + 4x2 = 12 + -18x + 6x2 + (-1 * -2 + x2 * -2)
-16 + 12x + 4x2 = 12 + -18x + 6x2 + (2 + -2x2)

Reorder the terms:
-16 + 12x + 4x2 = 12 + 2 + -18x + 6x2 + -2x2

Combine like terms: 12 + 2 = 14
-16 + 12x + 4x2 = 14 + -18x + 6x2 + -2x2

Combine like terms: 6x2 + -2x2 = 4x2
-16 + 12x + 4x2 = 14 + -18x + 4x2

Add '-4x2' to each side of the equation.
-16 + 12x + 4x2 + -4x2 = 14 + -18x + 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
-16 + 12x + 0 = 14 + -18x + 4x2 + -4x2
-16 + 12x = 14 + -18x + 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
-16 + 12x = 14 + -18x + 0
-16 + 12x = 14 + -18x

Solving
-16 + 12x = 14 + -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.
-16 + 12x + 18x = 14 + -18x + 18x

Combine like terms: 12x + 18x = 30x
-16 + 30x = 14 + -18x + 18x

Combine like terms: -18x + 18x = 0
-16 + 30x = 14 + 0
-16 + 30x = 14

Add '16' to each side of the equation.
-16 + 16 + 30x = 14 + 16

Combine like terms: -16 + 16 = 0
0 + 30x = 14 + 16
30x = 14 + 16

Combine like terms: 14 + 16 = 30
30x = 30

Divide each side by '30'.
x = 1

Simplifying
x = 1

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