(3x^2+3x-4)-(3x^2+6)=5

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Solution for (3x^2+3x-4)-(3x^2+6)=5 equation:


Simplifying
(3x2 + 3x + -4) + -1(3x2 + 6) = 5

Reorder the terms:
(-4 + 3x + 3x2) + -1(3x2 + 6) = 5

Remove parenthesis around (-4 + 3x + 3x2)
-4 + 3x + 3x2 + -1(3x2 + 6) = 5

Reorder the terms:
-4 + 3x + 3x2 + -1(6 + 3x2) = 5
-4 + 3x + 3x2 + (6 * -1 + 3x2 * -1) = 5
-4 + 3x + 3x2 + (-6 + -3x2) = 5

Reorder the terms:
-4 + -6 + 3x + 3x2 + -3x2 = 5

Combine like terms: -4 + -6 = -10
-10 + 3x + 3x2 + -3x2 = 5

Combine like terms: 3x2 + -3x2 = 0
-10 + 3x + 0 = 5
-10 + 3x = 5

Solving
-10 + 3x = 5

Solving for variable 'x'.

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

Add '10' to each side of the equation.
-10 + 10 + 3x = 5 + 10

Combine like terms: -10 + 10 = 0
0 + 3x = 5 + 10
3x = 5 + 10

Combine like terms: 5 + 10 = 15
3x = 15

Divide each side by '3'.
x = 5

Simplifying
x = 5

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