3x(2+x)=x(3x-2)-24

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Solution for 3x(2+x)=x(3x-2)-24 equation: 


Simplifying
3x(2 + x) = x(3x + -2) + -24
(2 * 3x + x * 3x) = x(3x + -2) + -24
(6x + 3x2) = x(3x + -2) + -24

Reorder the terms:
6x + 3x2 = x(-2 + 3x) + -24
6x + 3x2 = (-2 * x + 3x * x) + -24
6x + 3x2 = (-2x + 3x2) + -24

Reorder the terms:
6x + 3x2 = -24 + -2x + 3x2

Add '-3x2' to each side of the equation.
6x + 3x2 + -3x2 = -24 + -2x + 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
6x + 0 = -24 + -2x + 3x2 + -3x2
6x = -24 + -2x + 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
6x = -24 + -2x + 0
6x = -24 + -2x

Solving
6x = -24 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
6x + 2x = -24 + -2x + 2x

Combine like terms: 6x + 2x = 8x
8x = -24 + -2x + 2x

Combine like terms: -2x + 2x = 0
8x = -24 + 0
8x = -24

Divide each side by '8'.
x = -3

Simplifying
x = -3

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