(-3x^2+3x^2+5x-6)-(-2x+1)=

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Solution for (-3x^2+3x^2+5x-6)-(-2x+1)= equation:


Simplifying
(-3x2 + 3x2 + 5x + -6) + -1(-2x + 1) = 0

Reorder the terms:
(-6 + 5x + -3x2 + 3x2) + -1(-2x + 1) = 0

Combine like terms: -3x2 + 3x2 = 0
(-6 + 5x + 0) + -1(-2x + 1) = 0
(-6 + 5x) + -1(-2x + 1) = 0

Remove parenthesis around (-6 + 5x)
-6 + 5x + -1(-2x + 1) = 0

Reorder the terms:
-6 + 5x + -1(1 + -2x) = 0
-6 + 5x + (1 * -1 + -2x * -1) = 0
-6 + 5x + (-1 + 2x) = 0

Reorder the terms:
-6 + -1 + 5x + 2x = 0

Combine like terms: -6 + -1 = -7
-7 + 5x + 2x = 0

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

Solving
-7 + 7x = 0

Solving for variable 'x'.

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

Add '7' to each side of the equation.
-7 + 7 + 7x = 0 + 7

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

Combine like terms: 0 + 7 = 7
7x = 7

Divide each side by '7'.
x = 1

Simplifying
x = 1

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