(X-5)(x+2)=3(x-1)+2

Solution for (X-5)(x+2)=3(x-1)+2 equation:

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

Reorder the terms:
(-5 + X)(x + 2) = 3(x + -1) + 2

Reorder the terms:
(-5 + X)(2 + x) = 3(x + -1) + 2

Multiply (-5 + X) * (2 + x)
(-5(2 + x) + X(2 + x)) = 3(x + -1) + 2
((2 * -5 + x * -5) + X(2 + x)) = 3(x + -1) + 2
((-10 + -5x) + X(2 + x)) = 3(x + -1) + 2
(-10 + -5x + (2 * X + x * X)) = 3(x + -1) + 2
(-10 + -5x + (2X + xX)) = 3(x + -1) + 2

Reorder the terms:
(-10 + 2X + -5x + xX) = 3(x + -1) + 2
(-10 + 2X + -5x + xX) = 3(x + -1) + 2

Reorder the terms:
-10 + 2X + -5x + xX = 3(-1 + x) + 2
-10 + 2X + -5x + xX = (-1 * 3 + x * 3) + 2
-10 + 2X + -5x + xX = (-3 + 3x) + 2

Reorder the terms:
-10 + 2X + -5x + xX = -3 + 2 + 3x

Combine like terms: -3 + 2 = -1
-10 + 2X + -5x + xX = -1 + 3x

Solving
-10 + 2X + -5x + xX = -1 + 3x

Solving for variable 'X'.

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

Add '10' to each side of the equation.
-10 + 2X + -5x + 10 + xX = -1 + 10 + 3x

Reorder the terms:
-10 + 10 + 2X + -5x + xX = -1 + 10 + 3x

Combine like terms: -10 + 10 = 0
0 + 2X + -5x + xX = -1 + 10 + 3x
2X + -5x + xX = -1 + 10 + 3x

Combine like terms: -1 + 10 = 9
2X + -5x + xX = 9 + 3x

Add '5x' to each side of the equation.
2X + -5x + 5x + xX = 9 + 3x + 5x

Combine like terms: -5x + 5x = 0
2X + 0 + xX = 9 + 3x + 5x
2X + xX = 9 + 3x + 5x

Combine like terms: 3x + 5x = 8x
2X + xX = 9 + 8x

Reorder the terms:
-9 + 2X + -8x + xX = 9 + 8x + -9 + -8x

Reorder the terms:
-9 + 2X + -8x + xX = 9 + -9 + 8x + -8x

Combine like terms: 9 + -9 = 0
-9 + 2X + -8x + xX = 0 + 8x + -8x
-9 + 2X + -8x + xX = 8x + -8x

Combine like terms: 8x + -8x = 0
-9 + 2X + -8x + xX = 0

The solution to this equation could not be determined.