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

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


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

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

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

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

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

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

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

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

Combine like terms: -2x + 2x = 0
-3 + -1x + 4x2 = (-1 + 0 + 4x2)
-3 + -1x + 4x2 = (-1 + 4x2)

Add '-4x2' to each side of the equation.
-3 + -1x + 4x2 + -4x2 = -1 + 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
-3 + -1x + 0 = -1 + 4x2 + -4x2
-3 + -1x = -1 + 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
-3 + -1x = -1 + 0
-3 + -1x = -1

Solving
-3 + -1x = -1

Solving for variable 'x'.

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

Add '3' to each side of the equation.
-3 + 3 + -1x = -1 + 3

Combine like terms: -3 + 3 = 0
0 + -1x = -1 + 3
-1x = -1 + 3

Combine like terms: -1 + 3 = 2
-1x = 2

Divide each side by '-1'.
x = -2

Simplifying
x = -2

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