(4x-3)(2x+5)-1=20x-4(2x+1)(2-x)+6

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Solution for (4x-3)(2x+5)-1=20x-4(2x+1)(2-x)+6 equation: 


Simplifying
(4x + -3)(2x + 5) + -1 = 20x + -4(2x + 1)(2 + -1x) + 6

Reorder the terms:
(-3 + 4x)(2x + 5) + -1 = 20x + -4(2x + 1)(2 + -1x) + 6

Reorder the terms:
(-3 + 4x)(5 + 2x) + -1 = 20x + -4(2x + 1)(2 + -1x) + 6

Multiply (-3 + 4x) * (5 + 2x)
(-3(5 + 2x) + 4x * (5 + 2x)) + -1 = 20x + -4(2x + 1)(2 + -1x) + 6
((5 * -3 + 2x * -3) + 4x * (5 + 2x)) + -1 = 20x + -4(2x + 1)(2 + -1x) + 6
((-15 + -6x) + 4x * (5 + 2x)) + -1 = 20x + -4(2x + 1)(2 + -1x) + 6
(-15 + -6x + (5 * 4x + 2x * 4x)) + -1 = 20x + -4(2x + 1)(2 + -1x) + 6
(-15 + -6x + (20x + 8x2)) + -1 = 20x + -4(2x + 1)(2 + -1x) + 6

Combine like terms: -6x + 20x = 14x
(-15 + 14x + 8x2) + -1 = 20x + -4(2x + 1)(2 + -1x) + 6

Reorder the terms:
-15 + -1 + 14x + 8x2 = 20x + -4(2x + 1)(2 + -1x) + 6

Combine like terms: -15 + -1 = -16
-16 + 14x + 8x2 = 20x + -4(2x + 1)(2 + -1x) + 6

Reorder the terms:
-16 + 14x + 8x2 = 20x + -4(1 + 2x)(2 + -1x) + 6

Multiply (1 + 2x) * (2 + -1x)
-16 + 14x + 8x2 = 20x + -4(1(2 + -1x) + 2x * (2 + -1x)) + 6
-16 + 14x + 8x2 = 20x + -4((2 * 1 + -1x * 1) + 2x * (2 + -1x)) + 6
-16 + 14x + 8x2 = 20x + -4((2 + -1x) + 2x * (2 + -1x)) + 6
-16 + 14x + 8x2 = 20x + -4(2 + -1x + (2 * 2x + -1x * 2x)) + 6
-16 + 14x + 8x2 = 20x + -4(2 + -1x + (4x + -2x2)) + 6

Combine like terms: -1x + 4x = 3x
-16 + 14x + 8x2 = 20x + -4(2 + 3x + -2x2) + 6
-16 + 14x + 8x2 = 20x + (2 * -4 + 3x * -4 + -2x2 * -4) + 6
-16 + 14x + 8x2 = 20x + (-8 + -12x + 8x2) + 6

Reorder the terms:
-16 + 14x + 8x2 = -8 + 6 + 20x + -12x + 8x2

Combine like terms: -8 + 6 = -2
-16 + 14x + 8x2 = -2 + 20x + -12x + 8x2

Combine like terms: 20x + -12x = 8x
-16 + 14x + 8x2 = -2 + 8x + 8x2

Add '-8x2' to each side of the equation.
-16 + 14x + 8x2 + -8x2 = -2 + 8x + 8x2 + -8x2

Combine like terms: 8x2 + -8x2 = 0
-16 + 14x + 0 = -2 + 8x + 8x2 + -8x2
-16 + 14x = -2 + 8x + 8x2 + -8x2

Combine like terms: 8x2 + -8x2 = 0
-16 + 14x = -2 + 8x + 0
-16 + 14x = -2 + 8x

Solving
-16 + 14x = -2 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-16 + 14x + -8x = -2 + 8x + -8x

Combine like terms: 14x + -8x = 6x
-16 + 6x = -2 + 8x + -8x

Combine like terms: 8x + -8x = 0
-16 + 6x = -2 + 0
-16 + 6x = -2

Add '16' to each side of the equation.
-16 + 16 + 6x = -2 + 16

Combine like terms: -16 + 16 = 0
0 + 6x = -2 + 16
6x = -2 + 16

Combine like terms: -2 + 16 = 14
6x = 14

Divide each side by '6'.
x = 2.333333333

Simplifying
x = 2.333333333

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