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

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


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

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

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

Multiply (4 + X) * (-2 + 3x)
(4(-2 + 3x) + X(-2 + 3x)) = 3x(x + 1)
((-2 * 4 + 3x * 4) + X(-2 + 3x)) = 3x(x + 1)
((-8 + 12x) + X(-2 + 3x)) = 3x(x + 1)
(-8 + 12x + (-2 * X + 3x * X)) = 3x(x + 1)
(-8 + 12x + (-2X + 3xX)) = 3x(x + 1)

Reorder the terms:
(-8 + -2X + 12x + 3xX) = 3x(x + 1)
(-8 + -2X + 12x + 3xX) = 3x(x + 1)

Reorder the terms:
-8 + -2X + 12x + 3xX = 3x(1 + x)
-8 + -2X + 12x + 3xX = (1 * 3x + x * 3x)
-8 + -2X + 12x + 3xX = (3x + 3x2)

Solving
-8 + -2X + 12x + 3xX = 3x + 3x2

Solving for variable 'X'.

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

Add '8' to each side of the equation.
-8 + -2X + 12x + 8 + 3xX = 3x + 8 + 3x2

Reorder the terms:
-8 + 8 + -2X + 12x + 3xX = 3x + 8 + 3x2

Combine like terms: -8 + 8 = 0
0 + -2X + 12x + 3xX = 3x + 8 + 3x2
-2X + 12x + 3xX = 3x + 8 + 3x2

Reorder the terms:
-2X + 12x + 3xX = 8 + 3x + 3x2

Add '-12x' to each side of the equation.
-2X + 12x + -12x + 3xX = 8 + 3x + -12x + 3x2

Combine like terms: 12x + -12x = 0
-2X + 0 + 3xX = 8 + 3x + -12x + 3x2
-2X + 3xX = 8 + 3x + -12x + 3x2

Combine like terms: 3x + -12x = -9x
-2X + 3xX = 8 + -9x + 3x2

Reorder the terms:
-8 + -2X + 9x + 3xX + -3x2 = 8 + -9x + 3x2 + -8 + 9x + -3x2

Reorder the terms:
-8 + -2X + 9x + 3xX + -3x2 = 8 + -8 + -9x + 9x + 3x2 + -3x2

Combine like terms: 8 + -8 = 0
-8 + -2X + 9x + 3xX + -3x2 = 0 + -9x + 9x + 3x2 + -3x2
-8 + -2X + 9x + 3xX + -3x2 = -9x + 9x + 3x2 + -3x2

Combine like terms: -9x + 9x = 0
-8 + -2X + 9x + 3xX + -3x2 = 0 + 3x2 + -3x2
-8 + -2X + 9x + 3xX + -3x2 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
-8 + -2X + 9x + 3xX + -3x2 = 0

The solution to this equation could not be determined.

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