2x(3x-12)=6x(x-5)-24

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Solution for 2x(3x-12)=6x(x-5)-24 equation: 


Simplifying
2x(3x + -12) = 6x(x + -5) + -24

Reorder the terms:
2x(-12 + 3x) = 6x(x + -5) + -24
(-12 * 2x + 3x * 2x) = 6x(x + -5) + -24
(-24x + 6x2) = 6x(x + -5) + -24

Reorder the terms:
-24x + 6x2 = 6x(-5 + x) + -24
-24x + 6x2 = (-5 * 6x + x * 6x) + -24
-24x + 6x2 = (-30x + 6x2) + -24

Reorder the terms:
-24x + 6x2 = -24 + -30x + 6x2

Add '-6x2' to each side of the equation.
-24x + 6x2 + -6x2 = -24 + -30x + 6x2 + -6x2

Combine like terms: 6x2 + -6x2 = 0
-24x + 0 = -24 + -30x + 6x2 + -6x2
-24x = -24 + -30x + 6x2 + -6x2

Combine like terms: 6x2 + -6x2 = 0
-24x = -24 + -30x + 0
-24x = -24 + -30x

Solving
-24x = -24 + -30x

Solving for variable 'x'.

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

Add '30x' to each side of the equation.
-24x + 30x = -24 + -30x + 30x

Combine like terms: -24x + 30x = 6x
6x = -24 + -30x + 30x

Combine like terms: -30x + 30x = 0
6x = -24 + 0
6x = -24

Divide each side by '6'.
x = -4

Simplifying
x = -4

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