(2A+5)(X-B)=7X+A+B

Solution for (2A+5)(X-B)=7X+A+B equation:

Simplifying
(2A + 5)(X + -1B) = 7X + A + B

Reorder the terms:
(5 + 2A)(X + -1B) = 7X + A + B

Reorder the terms:
(5 + 2A)(-1B + X) = 7X + A + B

Multiply (5 + 2A) * (-1B + X)
(5(-1B + X) + 2A * (-1B + X)) = 7X + A + B
((-1B * 5 + X * 5) + 2A * (-1B + X)) = 7X + A + B
((-5B + 5X) + 2A * (-1B + X)) = 7X + A + B
(-5B + 5X + (-1B * 2A + X * 2A)) = 7X + A + B
(-5B + 5X + (-2AB + 2AX)) = 7X + A + B

Reorder the terms:
(-2AB + 2AX + -5B + 5X) = 7X + A + B
(-2AB + 2AX + -5B + 5X) = 7X + A + B

Reorder the terms:
-2AB + 2AX + -5B + 5X = A + B + 7X

Solving
-2AB + 2AX + -5B + 5X = A + B + 7X

Solving for variable 'A'.

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

Add '-1A' to each side of the equation.
-2AB + 2AX + -5B + -1A + 5X = A + B + -1A + 7X

Reorder the terms:
-1A + -2AB + 2AX + -5B + 5X = A + B + -1A + 7X

Reorder the terms:
-1A + -2AB + 2AX + -5B + 5X = A + -1A + B + 7X

Combine like terms: A + -1A = 0
-1A + -2AB + 2AX + -5B + 5X = 0 + B + 7X
-1A + -2AB + 2AX + -5B + 5X = B + 7X

Add '5B' to each side of the equation.
-1A + -2AB + 2AX + -5B + 5B + 5X = B + 5B + 7X

Combine like terms: -5B + 5B = 0
-1A + -2AB + 2AX + 0 + 5X = B + 5B + 7X
-1A + -2AB + 2AX + 5X = B + 5B + 7X

Combine like terms: B + 5B = 6B
-1A + -2AB + 2AX + 5X = 6B + 7X

Add '-5X' to each side of the equation.
-1A + -2AB + 2AX + 5X + -5X = 6B + 7X + -5X

Combine like terms: 5X + -5X = 0
-1A + -2AB + 2AX + 0 = 6B + 7X + -5X
-1A + -2AB + 2AX = 6B + 7X + -5X

Combine like terms: 7X + -5X = 2X
-1A + -2AB + 2AX = 6B + 2X

Reorder the terms:
-1A + -2AB + 2AX + -6B + -2X = 6B + -6B + 2X + -2X

Combine like terms: 6B + -6B = 0
-1A + -2AB + 2AX + -6B + -2X = 0 + 2X + -2X
-1A + -2AB + 2AX + -6B + -2X = 2X + -2X

Combine like terms: 2X + -2X = 0
-1A + -2AB + 2AX + -6B + -2X = 0

The solution to this equation could not be determined.