(6x^2-3x+1)-(6x^2-6)=2x+12

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Solution for (6x^2-3x+1)-(6x^2-6)=2x+12 equation:


Simplifying
(6x2 + -3x + 1) + -1(6x2 + -6) = 2x + 12

Reorder the terms:
(1 + -3x + 6x2) + -1(6x2 + -6) = 2x + 12

Remove parenthesis around (1 + -3x + 6x2)
1 + -3x + 6x2 + -1(6x2 + -6) = 2x + 12

Reorder the terms:
1 + -3x + 6x2 + -1(-6 + 6x2) = 2x + 12
1 + -3x + 6x2 + (-6 * -1 + 6x2 * -1) = 2x + 12
1 + -3x + 6x2 + (6 + -6x2) = 2x + 12

Reorder the terms:
1 + 6 + -3x + 6x2 + -6x2 = 2x + 12

Combine like terms: 1 + 6 = 7
7 + -3x + 6x2 + -6x2 = 2x + 12

Combine like terms: 6x2 + -6x2 = 0
7 + -3x + 0 = 2x + 12
7 + -3x = 2x + 12

Reorder the terms:
7 + -3x = 12 + 2x

Solving
7 + -3x = 12 + 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.
7 + -3x + -2x = 12 + 2x + -2x

Combine like terms: -3x + -2x = -5x
7 + -5x = 12 + 2x + -2x

Combine like terms: 2x + -2x = 0
7 + -5x = 12 + 0
7 + -5x = 12

Add '-7' to each side of the equation.
7 + -7 + -5x = 12 + -7

Combine like terms: 7 + -7 = 0
0 + -5x = 12 + -7
-5x = 12 + -7

Combine like terms: 12 + -7 = 5
-5x = 5

Divide each side by '-5'.
x = -1

Simplifying
x = -1

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