x^2-x+8=x^2+2x-7

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Solution for x^2-x+8=x^2+2x-7 equation:


Simplifying
x2 + -1x + 8 = x2 + 2x + -7

Reorder the terms:
8 + -1x + x2 = x2 + 2x + -7

Reorder the terms:
8 + -1x + x2 = -7 + 2x + x2

Add '-1x2' to each side of the equation.
8 + -1x + x2 + -1x2 = -7 + 2x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
8 + -1x + 0 = -7 + 2x + x2 + -1x2
8 + -1x = -7 + 2x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
8 + -1x = -7 + 2x + 0
8 + -1x = -7 + 2x

Solving
8 + -1x = -7 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
8 + -1x + -2x = -7 + 2x + -2x

Combine like terms: -1x + -2x = -3x
8 + -3x = -7 + 2x + -2x

Combine like terms: 2x + -2x = 0
8 + -3x = -7 + 0
8 + -3x = -7

Add '-8' to each side of the equation.
8 + -8 + -3x = -7 + -8

Combine like terms: 8 + -8 = 0
0 + -3x = -7 + -8
-3x = -7 + -8

Combine like terms: -7 + -8 = -15
-3x = -15

Divide each side by '-3'.
x = 5

Simplifying
x = 5

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