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

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


Simplifying
x(x + -2) + 5x = x(x + 2) + -3

Reorder the terms:
x(-2 + x) + 5x = x(x + 2) + -3
(-2 * x + x * x) + 5x = x(x + 2) + -3
(-2x + x2) + 5x = x(x + 2) + -3

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

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

Reorder the terms:
3x + x2 = x(2 + x) + -3
3x + x2 = (2 * x + x * x) + -3
3x + x2 = (2x + x2) + -3

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

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

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

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

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

Combine like terms: 3x + -2x = 1x
1x = -3 + 2x + -2x

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

Divide each side by '1'.
x = -3

Simplifying
x = -3

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