2x^2+8x-1+x^2-2x=3x^2+4x+5

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Solution for 2x^2+8x-1+x^2-2x=3x^2+4x+5 equation:


Simplifying
2x2 + 8x + -1 + x2 + -2x = 3x2 + 4x + 5

Reorder the terms:
-1 + 8x + -2x + 2x2 + x2 = 3x2 + 4x + 5

Combine like terms: 8x + -2x = 6x
-1 + 6x + 2x2 + x2 = 3x2 + 4x + 5

Combine like terms: 2x2 + x2 = 3x2
-1 + 6x + 3x2 = 3x2 + 4x + 5

Reorder the terms:
-1 + 6x + 3x2 = 5 + 4x + 3x2

Add '-3x2' to each side of the equation.
-1 + 6x + 3x2 + -3x2 = 5 + 4x + 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
-1 + 6x + 0 = 5 + 4x + 3x2 + -3x2
-1 + 6x = 5 + 4x + 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
-1 + 6x = 5 + 4x + 0
-1 + 6x = 5 + 4x

Solving
-1 + 6x = 5 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-1 + 6x + -4x = 5 + 4x + -4x

Combine like terms: 6x + -4x = 2x
-1 + 2x = 5 + 4x + -4x

Combine like terms: 4x + -4x = 0
-1 + 2x = 5 + 0
-1 + 2x = 5

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

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

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

Divide each side by '2'.
x = 3

Simplifying
x = 3

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