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

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

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

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

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

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

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

Reorder the terms:
6 + 10x + 4x2 = (1 + x)(4x + -3)

Reorder the terms:
6 + 10x + 4x2 = (1 + x)(-3 + 4x)

Multiply (1 + x) * (-3 + 4x)
6 + 10x + 4x2 = (1(-3 + 4x) + x(-3 + 4x))
6 + 10x + 4x2 = ((-3 * 1 + 4x * 1) + x(-3 + 4x))
6 + 10x + 4x2 = ((-3 + 4x) + x(-3 + 4x))
6 + 10x + 4x2 = (-3 + 4x + (-3 * x + 4x * x))
6 + 10x + 4x2 = (-3 + 4x + (-3x + 4x2))

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

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

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

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

Solving
6 + 10x = -3 + 1x

Solving for variable 'x'.

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

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

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

Combine like terms: 1x + -1x = 0
6 + 9x = -3 + 0
6 + 9x = -3

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

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

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

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

Simplifying
x = -1