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

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


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

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

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

Add '-2x2' to each side of the equation.
-5 + 4x + 2x2 + -2x2 = -1 + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-5 + 4x + 0 = -1 + 2x2 + -2x2
-5 + 4x = -1 + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-5 + 4x = -1 + 0
-5 + 4x = -1

Solving
-5 + 4x = -1

Solving for variable 'x'.

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

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

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

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

Divide each side by '4'.
x = 1

Simplifying
x = 1

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