2x^2-4x-16=2x^2-3x-5

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Solution for 2x^2-4x-16=2x^2-3x-5 equation:


Simplifying
2x2 + -4x + -16 = 2x2 + -3x + -5

Reorder the terms:
-16 + -4x + 2x2 = 2x2 + -3x + -5

Reorder the terms:
-16 + -4x + 2x2 = -5 + -3x + 2x2

Add '-2x2' to each side of the equation.
-16 + -4x + 2x2 + -2x2 = -5 + -3x + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-16 + -4x + 0 = -5 + -3x + 2x2 + -2x2
-16 + -4x = -5 + -3x + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-16 + -4x = -5 + -3x + 0
-16 + -4x = -5 + -3x

Solving
-16 + -4x = -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.
-16 + -4x + 3x = -5 + -3x + 3x

Combine like terms: -4x + 3x = -1x
-16 + -1x = -5 + -3x + 3x

Combine like terms: -3x + 3x = 0
-16 + -1x = -5 + 0
-16 + -1x = -5

Add '16' to each side of the equation.
-16 + 16 + -1x = -5 + 16

Combine like terms: -16 + 16 = 0
0 + -1x = -5 + 16
-1x = -5 + 16

Combine like terms: -5 + 16 = 11
-1x = 11

Divide each side by '-1'.
x = -11

Simplifying
x = -11

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