(x^2)+2x+40=(x^2)-x+190

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Solution for (x^2)+2x+40=(x^2)-x+190 equation:


Simplifying
(x2) + 2x + 40 = (x2) + -1x + 190
x2 + 2x + 40 = (x2) + -1x + 190

Reorder the terms:
40 + 2x + x2 = (x2) + -1x + 190
40 + 2x + x2 = x2 + -1x + 190

Reorder the terms:
40 + 2x + x2 = 190 + -1x + x2

Add '-1x2' to each side of the equation.
40 + 2x + x2 + -1x2 = 190 + -1x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
40 + 2x + 0 = 190 + -1x + x2 + -1x2
40 + 2x = 190 + -1x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
40 + 2x = 190 + -1x + 0
40 + 2x = 190 + -1x

Solving
40 + 2x = 190 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
40 + 2x + x = 190 + -1x + x

Combine like terms: 2x + x = 3x
40 + 3x = 190 + -1x + x

Combine like terms: -1x + x = 0
40 + 3x = 190 + 0
40 + 3x = 190

Add '-40' to each side of the equation.
40 + -40 + 3x = 190 + -40

Combine like terms: 40 + -40 = 0
0 + 3x = 190 + -40
3x = 190 + -40

Combine like terms: 190 + -40 = 150
3x = 150

Divide each side by '3'.
x = 50

Simplifying
x = 50

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