2x^2-5=2x^2+x-50

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Solution for 2x^2-5=2x^2+x-50 equation:


Simplifying
2x2 + -5 = 2x2 + x + -50

Reorder the terms:
-5 + 2x2 = 2x2 + x + -50

Reorder the terms:
-5 + 2x2 = -50 + x + 2x2

Add '-2x2' to each side of the equation.
-5 + 2x2 + -2x2 = -50 + x + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-5 + 0 = -50 + x + 2x2 + -2x2
-5 = -50 + x + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-5 = -50 + x + 0
-5 = -50 + x

Solving
-5 = -50 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-5 + -1x = -50 + x + -1x

Combine like terms: x + -1x = 0
-5 + -1x = -50 + 0
-5 + -1x = -50

Add '5' to each side of the equation.
-5 + 5 + -1x = -50 + 5

Combine like terms: -5 + 5 = 0
0 + -1x = -50 + 5
-1x = -50 + 5

Combine like terms: -50 + 5 = -45
-1x = -45

Divide each side by '-1'.
x = 45

Simplifying
x = 45

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