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

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

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

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

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

Multiply (3 + X) * (-2 + x)
(3(-2 + x) + X(-2 + x)) = 4(x + 1)
((-2 * 3 + x * 3) + X(-2 + x)) = 4(x + 1)
((-6 + 3x) + X(-2 + x)) = 4(x + 1)
(-6 + 3x + (-2 * X + x * X)) = 4(x + 1)
(-6 + 3x + (-2X + xX)) = 4(x + 1)

Reorder the terms:
(-6 + -2X + 3x + xX) = 4(x + 1)
(-6 + -2X + 3x + xX) = 4(x + 1)

Reorder the terms:
-6 + -2X + 3x + xX = 4(1 + x)
-6 + -2X + 3x + xX = (1 * 4 + x * 4)
-6 + -2X + 3x + xX = (4 + 4x)

Solving
-6 + -2X + 3x + xX = 4 + 4x

Solving for variable 'X'.

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

Add '6' to each side of the equation.
-6 + -2X + 3x + 6 + xX = 4 + 6 + 4x

Reorder the terms:
-6 + 6 + -2X + 3x + xX = 4 + 6 + 4x

Combine like terms: -6 + 6 = 0
0 + -2X + 3x + xX = 4 + 6 + 4x
-2X + 3x + xX = 4 + 6 + 4x

Combine like terms: 4 + 6 = 10
-2X + 3x + xX = 10 + 4x

Add '-3x' to each side of the equation.
-2X + 3x + -3x + xX = 10 + 4x + -3x

Combine like terms: 3x + -3x = 0
-2X + 0 + xX = 10 + 4x + -3x
-2X + xX = 10 + 4x + -3x

Combine like terms: 4x + -3x = 1x
-2X + xX = 10 + 1x

Reorder the terms:
-10 + -2X + -1x + xX = 10 + 1x + -10 + -1x

Reorder the terms:
-10 + -2X + -1x + xX = 10 + -10 + 1x + -1x

Combine like terms: 10 + -10 = 0
-10 + -2X + -1x + xX = 0 + 1x + -1x
-10 + -2X + -1x + xX = 1x + -1x

Combine like terms: 1x + -1x = 0
-10 + -2X + -1x + xX = 0

The solution to this equation could not be determined.