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

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


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

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

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

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

Reorder the terms:
1 + -3x + -3x + 5x2 + -5x2 = -5

Combine like terms: -3x + -3x = -6x
1 + -6x + 5x2 + -5x2 = -5

Combine like terms: 5x2 + -5x2 = 0
1 + -6x + 0 = -5
1 + -6x = -5

Solving
1 + -6x = -5

Solving for variable 'x'.

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

Add '-1' to each side of the equation.
1 + -1 + -6x = -5 + -1

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

Combine like terms: -5 + -1 = -6
-6x = -6

Divide each side by '-6'.
x = 1

Simplifying
x = 1

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