(X-3)(c+3)=5x-13

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Solution for (X-3)(c+3)=5x-13 equation:


Simplifying
(X + -3)(c + 3) = 5x + -13

Reorder the terms:
(-3 + X)(c + 3) = 5x + -13

Reorder the terms:
(-3 + X)(3 + c) = 5x + -13

Multiply (-3 + X) * (3 + c)
(-3(3 + c) + X(3 + c)) = 5x + -13
((3 * -3 + c * -3) + X(3 + c)) = 5x + -13
((-9 + -3c) + X(3 + c)) = 5x + -13
(-9 + -3c + (3 * X + c * X)) = 5x + -13
(-9 + -3c + (3X + cX)) = 5x + -13

Reorder the terms:
(-9 + 3X + -3c + cX) = 5x + -13
(-9 + 3X + -3c + cX) = 5x + -13

Reorder the terms:
-9 + 3X + -3c + cX = -13 + 5x

Solving
-9 + 3X + -3c + cX = -13 + 5x

Solving for variable 'X'.

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

Add '9' to each side of the equation.
-9 + 3X + -3c + 9 + cX = -13 + 9 + 5x

Reorder the terms:
-9 + 9 + 3X + -3c + cX = -13 + 9 + 5x

Combine like terms: -9 + 9 = 0
0 + 3X + -3c + cX = -13 + 9 + 5x
3X + -3c + cX = -13 + 9 + 5x

Combine like terms: -13 + 9 = -4
3X + -3c + cX = -4 + 5x

Add '3c' to each side of the equation.
3X + -3c + 3c + cX = -4 + 3c + 5x

Combine like terms: -3c + 3c = 0
3X + 0 + cX = -4 + 3c + 5x
3X + cX = -4 + 3c + 5x

Reorder the terms:
4 + 3X + -3c + cX + -5x = -4 + 3c + 5x + 4 + -3c + -5x

Reorder the terms:
4 + 3X + -3c + cX + -5x = -4 + 4 + 3c + -3c + 5x + -5x

Combine like terms: -4 + 4 = 0
4 + 3X + -3c + cX + -5x = 0 + 3c + -3c + 5x + -5x
4 + 3X + -3c + cX + -5x = 3c + -3c + 5x + -5x

Combine like terms: 3c + -3c = 0
4 + 3X + -3c + cX + -5x = 0 + 5x + -5x
4 + 3X + -3c + cX + -5x = 5x + -5x

Combine like terms: 5x + -5x = 0
4 + 3X + -3c + cX + -5x = 0

The solution to this equation could not be determined.

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