x^2+3x-3=x^2-2x-28

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Solution for x^2+3x-3=x^2-2x-28 equation:


Simplifying
x2 + 3x + -3 = x2 + -2x + -28

Reorder the terms:
-3 + 3x + x2 = x2 + -2x + -28

Reorder the terms:
-3 + 3x + x2 = -28 + -2x + x2

Add '-1x2' to each side of the equation.
-3 + 3x + x2 + -1x2 = -28 + -2x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-3 + 3x + 0 = -28 + -2x + x2 + -1x2
-3 + 3x = -28 + -2x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-3 + 3x = -28 + -2x + 0
-3 + 3x = -28 + -2x

Solving
-3 + 3x = -28 + -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.
-3 + 3x + 2x = -28 + -2x + 2x

Combine like terms: 3x + 2x = 5x
-3 + 5x = -28 + -2x + 2x

Combine like terms: -2x + 2x = 0
-3 + 5x = -28 + 0
-3 + 5x = -28

Add '3' to each side of the equation.
-3 + 3 + 5x = -28 + 3

Combine like terms: -3 + 3 = 0
0 + 5x = -28 + 3
5x = -28 + 3

Combine like terms: -28 + 3 = -25
5x = -25

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

Simplifying
x = -5

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