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

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

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

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

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

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

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

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

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

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

Combine like terms: 2x + 3x = 5x
-3 + 1x + 4x2 = (2(3 + 5x + 2x2))
-3 + 1x + 4x2 = ((3 * 2 + 5x * 2 + 2x2 * 2))
-3 + 1x + 4x2 = ((6 + 10x + 4x2))
-3 + 1x + 4x2 = (6 + 10x + 4x2)

Remove parenthesis around (6 + 10x + 4x2)
-3 + 1x + 4x2 = 6 + 10x + 4x2

Add '-4x2' to each side of the equation.
-3 + 1x + 4x2 + -4x2 = 6 + 10x + 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
-3 + 1x + 0 = 6 + 10x + 4x2 + -4x2
-3 + 1x = 6 + 10x + 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
-3 + 1x = 6 + 10x + 0
-3 + 1x = 6 + 10x

Solving
-3 + 1x = 6 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
-3 + 1x + -10x = 6 + 10x + -10x

Combine like terms: 1x + -10x = -9x
-3 + -9x = 6 + 10x + -10x

Combine like terms: 10x + -10x = 0
-3 + -9x = 6 + 0
-3 + -9x = 6

Add '3' to each side of the equation.
-3 + 3 + -9x = 6 + 3

Combine like terms: -3 + 3 = 0
0 + -9x = 6 + 3
-9x = 6 + 3

Combine like terms: 6 + 3 = 9
-9x = 9

Divide each side by '-9'.
x = -1

Simplifying
x = -1