5x^2-3x=7x^2+5x-2x^2+16

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Solution for 5x^2-3x=7x^2+5x-2x^2+16 equation:


Simplifying
5x2 + -3x = 7x2 + 5x + -2x2 + 16

Reorder the terms:
-3x + 5x2 = 7x2 + 5x + -2x2 + 16

Reorder the terms:
-3x + 5x2 = 16 + 5x + 7x2 + -2x2

Combine like terms: 7x2 + -2x2 = 5x2
-3x + 5x2 = 16 + 5x + 5x2

Add '-5x2' to each side of the equation.
-3x + 5x2 + -5x2 = 16 + 5x + 5x2 + -5x2

Combine like terms: 5x2 + -5x2 = 0
-3x + 0 = 16 + 5x + 5x2 + -5x2
-3x = 16 + 5x + 5x2 + -5x2

Combine like terms: 5x2 + -5x2 = 0
-3x = 16 + 5x + 0
-3x = 16 + 5x

Solving
-3x = 16 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-3x + -5x = 16 + 5x + -5x

Combine like terms: -3x + -5x = -8x
-8x = 16 + 5x + -5x

Combine like terms: 5x + -5x = 0
-8x = 16 + 0
-8x = 16

Divide each side by '-8'.
x = -2

Simplifying
x = -2

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