2x^2+6x=2x^2-3x-5

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


Simplifying
2x2 + 6x = 2x2 + -3x + -5

Reorder the terms:
6x + 2x2 = 2x2 + -3x + -5

Reorder the terms:
6x + 2x2 = -5 + -3x + 2x2

Add '-2x2' to each side of the equation.
6x + 2x2 + -2x2 = -5 + -3x + 2x2 + -2x2

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

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

Solving
6x = -5 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
6x + 3x = -5 + -3x + 3x

Combine like terms: 6x + 3x = 9x
9x = -5 + -3x + 3x

Combine like terms: -3x + 3x = 0
9x = -5 + 0
9x = -5

Divide each side by '9'.
x = -0.5555555556

Simplifying
x = -0.5555555556

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