(X-7)(x+4)=-2(x-22)

Solution for (X-7)(x+4)=-2(x-22) equation:

Simplifying
(X + -7)(x + 4) = -2(x + -22)

Reorder the terms:
(-7 + X)(x + 4) = -2(x + -22)

Reorder the terms:
(-7 + X)(4 + x) = -2(x + -22)

Multiply (-7 + X) * (4 + x)
(-7(4 + x) + X(4 + x)) = -2(x + -22)
((4 * -7 + x * -7) + X(4 + x)) = -2(x + -22)
((-28 + -7x) + X(4 + x)) = -2(x + -22)
(-28 + -7x + (4 * X + x * X)) = -2(x + -22)
(-28 + -7x + (4X + xX)) = -2(x + -22)

Reorder the terms:
(-28 + 4X + -7x + xX) = -2(x + -22)
(-28 + 4X + -7x + xX) = -2(x + -22)

Reorder the terms:
-28 + 4X + -7x + xX = -2(-22 + x)
-28 + 4X + -7x + xX = (-22 * -2 + x * -2)
-28 + 4X + -7x + xX = (44 + -2x)

Solving
-28 + 4X + -7x + xX = 44 + -2x

Solving for variable 'X'.

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

Add '28' to each side of the equation.
-28 + 4X + -7x + 28 + xX = 44 + 28 + -2x

Reorder the terms:
-28 + 28 + 4X + -7x + xX = 44 + 28 + -2x

Combine like terms: -28 + 28 = 0
0 + 4X + -7x + xX = 44 + 28 + -2x
4X + -7x + xX = 44 + 28 + -2x

Combine like terms: 44 + 28 = 72
4X + -7x + xX = 72 + -2x

Add '7x' to each side of the equation.
4X + -7x + 7x + xX = 72 + -2x + 7x

Combine like terms: -7x + 7x = 0
4X + 0 + xX = 72 + -2x + 7x
4X + xX = 72 + -2x + 7x

Combine like terms: -2x + 7x = 5x
4X + xX = 72 + 5x

Reorder the terms:
-72 + 4X + -5x + xX = 72 + 5x + -72 + -5x

Reorder the terms:
-72 + 4X + -5x + xX = 72 + -72 + 5x + -5x

Combine like terms: 72 + -72 = 0
-72 + 4X + -5x + xX = 0 + 5x + -5x
-72 + 4X + -5x + xX = 5x + -5x

Combine like terms: 5x + -5x = 0
-72 + 4X + -5x + xX = 0

The solution to this equation could not be determined.