5-3(x-6)=2-x(x+3)

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Solution for 5-3(x-6)=2-x(x+3) equation:


Simplifying
5 + -3(x + -6) = 2 + -1x(x + 3)

Reorder the terms:
5 + -3(-6 + x) = 2 + -1x(x + 3)
5 + (-6 * -3 + x * -3) = 2 + -1x(x + 3)
5 + (18 + -3x) = 2 + -1x(x + 3)

Combine like terms: 5 + 18 = 23
23 + -3x = 2 + -1x(x + 3)

Reorder the terms:
23 + -3x = 2 + -1x(3 + x)
23 + -3x = 2 + (3 * -1x + x * -1x)
23 + -3x = 2 + (-3x + -1x2)

Add '3x' to each side of the equation.
23 + -3x + 3x = 2 + -3x + 3x + -1x2

Combine like terms: -3x + 3x = 0
23 + 0 = 2 + -3x + 3x + -1x2
23 = 2 + -3x + 3x + -1x2

Combine like terms: -3x + 3x = 0
23 = 2 + 0 + -1x2
23 = 2 + -1x2

Solving
23 = 2 + -1x2

Solving for variable 'x'.

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

Add 'x2' to each side of the equation.
23 + x2 = 2 + -1x2 + x2

Combine like terms: -1x2 + x2 = 0
23 + x2 = 2 + 0
23 + x2 = 2

Add '-23' to each side of the equation.
23 + -23 + x2 = 2 + -23

Combine like terms: 23 + -23 = 0
0 + x2 = 2 + -23
x2 = 2 + -23

Combine like terms: 2 + -23 = -21
x2 = -21

Simplifying
x2 = -21

Reorder the terms:
21 + x2 = -21 + 21

Combine like terms: -21 + 21 = 0
21 + x2 = 0

The solution to this equation could not be determined.

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