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

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


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

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

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

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

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

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

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

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

Combine like terms: 2x + 8x = 10x
-3 + 1x + 4x2 = 2(8 + 10x + 2x2)
-3 + 1x + 4x2 = (8 * 2 + 10x * 2 + 2x2 * 2)
-3 + 1x + 4x2 = (16 + 20x + 4x2)

Add '-4x2' to each side of the equation.
-3 + 1x + 4x2 + -4x2 = 16 + 20x + 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
-3 + 1x + 0 = 16 + 20x + 4x2 + -4x2
-3 + 1x = 16 + 20x + 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
-3 + 1x = 16 + 20x + 0
-3 + 1x = 16 + 20x

Solving
-3 + 1x = 16 + 20x

Solving for variable 'x'.

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

Add '-20x' to each side of the equation.
-3 + 1x + -20x = 16 + 20x + -20x

Combine like terms: 1x + -20x = -19x
-3 + -19x = 16 + 20x + -20x

Combine like terms: 20x + -20x = 0
-3 + -19x = 16 + 0
-3 + -19x = 16

Add '3' to each side of the equation.
-3 + 3 + -19x = 16 + 3

Combine like terms: -3 + 3 = 0
0 + -19x = 16 + 3
-19x = 16 + 3

Combine like terms: 16 + 3 = 19
-19x = 19

Divide each side by '-19'.
x = -1

Simplifying
x = -1

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