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

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


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

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

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

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

Combine like terms: 8x + -3x = 5x
(-3 + 5x + 8x2) = (4x + -3)(2x + 1)

Reorder the terms:
-3 + 5x + 8x2 = (-3 + 4x)(2x + 1)

Reorder the terms:
-3 + 5x + 8x2 = (-3 + 4x)(1 + 2x)

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

Combine like terms: -6x + 4x = -2x
-3 + 5x + 8x2 = (-3 + -2x + 8x2)

Add '3' to each side of the equation.
-3 + 5x + 3 + 8x2 = -3 + -2x + 3 + 8x2

Reorder the terms:
-3 + 3 + 5x + 8x2 = -3 + -2x + 3 + 8x2

Combine like terms: -3 + 3 = 0
0 + 5x + 8x2 = -3 + -2x + 3 + 8x2
5x + 8x2 = -3 + -2x + 3 + 8x2

Reorder the terms:
5x + 8x2 = -3 + 3 + -2x + 8x2

Combine like terms: -3 + 3 = 0
5x + 8x2 = 0 + -2x + 8x2
5x + 8x2 = -2x + 8x2

Add '-8x2' to each side of the equation.
5x + 8x2 + -8x2 = -2x + 8x2 + -8x2

Combine like terms: 8x2 + -8x2 = 0
5x + 0 = -2x + 8x2 + -8x2
5x = -2x + 8x2 + -8x2

Combine like terms: 8x2 + -8x2 = 0
5x = -2x + 0
5x = -2x

Solving
5x = -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
5x + 2x = -2x + 2x

Combine like terms: 5x + 2x = 7x
7x = -2x + 2x

Combine like terms: -2x + 2x = 0
7x = 0

Divide each side by '7'.
x = 0

Simplifying
x = 0

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