2x(x-3)=2(x^2-7)+2

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Solution for 2x(x-3)=2(x^2-7)+2 equation: 


Simplifying
2x(x + -3) = 2(x2 + -7) + 2

Reorder the terms:
2x(-3 + x) = 2(x2 + -7) + 2
(-3 * 2x + x * 2x) = 2(x2 + -7) + 2
(-6x + 2x2) = 2(x2 + -7) + 2

Reorder the terms:
-6x + 2x2 = 2(-7 + x2) + 2
-6x + 2x2 = (-7 * 2 + x2 * 2) + 2
-6x + 2x2 = (-14 + 2x2) + 2

Reorder the terms:
-6x + 2x2 = -14 + 2 + 2x2

Combine like terms: -14 + 2 = -12
-6x + 2x2 = -12 + 2x2

Add '-2x2' to each side of the equation.
-6x + 2x2 + -2x2 = -12 + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-6x + 0 = -12 + 2x2 + -2x2
-6x = -12 + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-6x = -12 + 0
-6x = -12

Solving
-6x = -12

Solving for variable 'x'.

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

Divide each side by '-6'.
x = 2

Simplifying
x = 2

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