x^2+4x-6=x^2-x+3

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Solution for x^2+4x-6=x^2-x+3 equation:


Simplifying
x2 + 4x + -6 = x2 + -1x + 3

Reorder the terms:
-6 + 4x + x2 = x2 + -1x + 3

Reorder the terms:
-6 + 4x + x2 = 3 + -1x + x2

Add '-1x2' to each side of the equation.
-6 + 4x + x2 + -1x2 = 3 + -1x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-6 + 4x + 0 = 3 + -1x + x2 + -1x2
-6 + 4x = 3 + -1x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-6 + 4x = 3 + -1x + 0
-6 + 4x = 3 + -1x

Solving
-6 + 4x = 3 + -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.
-6 + 4x + x = 3 + -1x + x

Combine like terms: 4x + x = 5x
-6 + 5x = 3 + -1x + x

Combine like terms: -1x + x = 0
-6 + 5x = 3 + 0
-6 + 5x = 3

Add '6' to each side of the equation.
-6 + 6 + 5x = 3 + 6

Combine like terms: -6 + 6 = 0
0 + 5x = 3 + 6
5x = 3 + 6

Combine like terms: 3 + 6 = 9
5x = 9

Divide each side by '5'.
x = 1.8

Simplifying
x = 1.8

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