x*x+5x-5=x*x+6x+2

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Solution for x*x+5x-5=x*x+6x+2 equation:


Simplifying
x * x + 5x + -5 = x * x + 6x + 2

Multiply x * x
x2 + 5x + -5 = x * x + 6x + 2

Reorder the terms:
-5 + 5x + x2 = x * x + 6x + 2

Multiply x * x
-5 + 5x + x2 = x2 + 6x + 2

Reorder the terms:
-5 + 5x + x2 = 2 + 6x + x2

Add '-1x2' to each side of the equation.
-5 + 5x + x2 + -1x2 = 2 + 6x + x2 + -1x2

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

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

Solving
-5 + 5x = 2 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-5 + 5x + -6x = 2 + 6x + -6x

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

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

Add '5' to each side of the equation.
-5 + 5 + -1x = 2 + 5

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

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

Divide each side by '-1'.
x = -7

Simplifying
x = -7

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