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

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Solution for (8x-2)(4+3x)=(4x+3)(-1+6x) equation: 


Simplifying
(8x + -2)(4 + 3x) = (4x + 3)(-1 + 6x)

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

Multiply (-2 + 8x) * (4 + 3x)
(-2(4 + 3x) + 8x * (4 + 3x)) = (4x + 3)(-1 + 6x)
((4 * -2 + 3x * -2) + 8x * (4 + 3x)) = (4x + 3)(-1 + 6x)
((-8 + -6x) + 8x * (4 + 3x)) = (4x + 3)(-1 + 6x)
(-8 + -6x + (4 * 8x + 3x * 8x)) = (4x + 3)(-1 + 6x)
(-8 + -6x + (32x + 24x2)) = (4x + 3)(-1 + 6x)

Combine like terms: -6x + 32x = 26x
(-8 + 26x + 24x2) = (4x + 3)(-1 + 6x)

Reorder the terms:
-8 + 26x + 24x2 = (3 + 4x)(-1 + 6x)

Multiply (3 + 4x) * (-1 + 6x)
-8 + 26x + 24x2 = (3(-1 + 6x) + 4x * (-1 + 6x))
-8 + 26x + 24x2 = ((-1 * 3 + 6x * 3) + 4x * (-1 + 6x))
-8 + 26x + 24x2 = ((-3 + 18x) + 4x * (-1 + 6x))
-8 + 26x + 24x2 = (-3 + 18x + (-1 * 4x + 6x * 4x))
-8 + 26x + 24x2 = (-3 + 18x + (-4x + 24x2))

Combine like terms: 18x + -4x = 14x
-8 + 26x + 24x2 = (-3 + 14x + 24x2)

Add '-24x2' to each side of the equation.
-8 + 26x + 24x2 + -24x2 = -3 + 14x + 24x2 + -24x2

Combine like terms: 24x2 + -24x2 = 0
-8 + 26x + 0 = -3 + 14x + 24x2 + -24x2
-8 + 26x = -3 + 14x + 24x2 + -24x2

Combine like terms: 24x2 + -24x2 = 0
-8 + 26x = -3 + 14x + 0
-8 + 26x = -3 + 14x

Solving
-8 + 26x = -3 + 14x

Solving for variable 'x'.

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

Add '-14x' to each side of the equation.
-8 + 26x + -14x = -3 + 14x + -14x

Combine like terms: 26x + -14x = 12x
-8 + 12x = -3 + 14x + -14x

Combine like terms: 14x + -14x = 0
-8 + 12x = -3 + 0
-8 + 12x = -3

Add '8' to each side of the equation.
-8 + 8 + 12x = -3 + 8

Combine like terms: -8 + 8 = 0
0 + 12x = -3 + 8
12x = -3 + 8

Combine like terms: -3 + 8 = 5
12x = 5

Divide each side by '12'.
x = 0.4166666667

Simplifying
x = 0.4166666667

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