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

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


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

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

Reorder the terms for easier multiplication:
2(3 + 4x) + -1(5x + 4) * 2 + (3x + 2) * 2 = 1
(3 * 2 + 4x * 2) + -1(5x + 4) * 2 + (3x + 2) * 2 = 1
(6 + 8x) + -1(5x + 4) * 2 + (3x + 2) * 2 = 1

Reorder the terms:
6 + 8x + -1(4 + 5x) * 2 + (3x + 2) * 2 = 1

Reorder the terms for easier multiplication:
6 + 8x + -1 * 2(4 + 5x) + (3x + 2) * 2 = 1

Multiply -1 * 2
6 + 8x + -2(4 + 5x) + (3x + 2) * 2 = 1
6 + 8x + (4 * -2 + 5x * -2) + (3x + 2) * 2 = 1
6 + 8x + (-8 + -10x) + (3x + 2) * 2 = 1

Reorder the terms:
6 + 8x + -8 + -10x + (2 + 3x) * 2 = 1

Reorder the terms for easier multiplication:
6 + 8x + -8 + -10x + 2(2 + 3x) = 1
6 + 8x + -8 + -10x + (2 * 2 + 3x * 2) = 1
6 + 8x + -8 + -10x + (4 + 6x) = 1

Reorder the terms:
6 + -8 + 4 + 8x + -10x + 6x = 1

Combine like terms: 6 + -8 = -2
-2 + 4 + 8x + -10x + 6x = 1

Combine like terms: -2 + 4 = 2
2 + 8x + -10x + 6x = 1

Combine like terms: 8x + -10x = -2x
2 + -2x + 6x = 1

Combine like terms: -2x + 6x = 4x
2 + 4x = 1

Solving
2 + 4x = 1

Solving for variable 'x'.

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

Add '-2' to each side of the equation.
2 + -2 + 4x = 1 + -2

Combine like terms: 2 + -2 = 0
0 + 4x = 1 + -2
4x = 1 + -2

Combine like terms: 1 + -2 = -1
4x = -1

Divide each side by '4'.
x = -0.25

Simplifying
x = -0.25

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