x^2-3x=x^2+5x+7

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Solution for x^2-3x=x^2+5x+7 equation:


Simplifying
x2 + -3x = x2 + 5x + 7

Reorder the terms:
-3x + x2 = x2 + 5x + 7

Reorder the terms:
-3x + x2 = 7 + 5x + x2

Add '-1x2' to each side of the equation.
-3x + x2 + -1x2 = 7 + 5x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-3x + 0 = 7 + 5x + x2 + -1x2
-3x = 7 + 5x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-3x = 7 + 5x + 0
-3x = 7 + 5x

Solving
-3x = 7 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-3x + -5x = 7 + 5x + -5x

Combine like terms: -3x + -5x = -8x
-8x = 7 + 5x + -5x

Combine like terms: 5x + -5x = 0
-8x = 7 + 0
-8x = 7

Divide each side by '-8'.
x = -0.875

Simplifying
x = -0.875

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