b(x+2)-2(x-a)=a(x+3)

Solution for b(x+2)-2(x-a)=a(x+3) equation:

Simplifying
b(x + 2) + -2(x + -1a) = a(x + 3)

Reorder the terms:
b(2 + x) + -2(x + -1a) = a(x + 3)
(2 * b + x * b) + -2(x + -1a) = a(x + 3)
(2b + bx) + -2(x + -1a) = a(x + 3)

Reorder the terms:
2b + bx + -2(-1a + x) = a(x + 3)
2b + bx + (-1a * -2 + x * -2) = a(x + 3)
2b + bx + (2a + -2x) = a(x + 3)

Reorder the terms:
2a + 2b + bx + -2x = a(x + 3)

Reorder the terms:
2a + 2b + bx + -2x = a(3 + x)
2a + 2b + bx + -2x = (3 * a + x * a)
2a + 2b + bx + -2x = (3a + ax)

Solving
2a + 2b + bx + -2x = 3a + ax

Solving for variable 'a'.

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

Add '-3a' to each side of the equation.
2a + 2b + bx + -3a + -2x = 3a + -3a + ax

Reorder the terms:
2a + -3a + 2b + bx + -2x = 3a + -3a + ax

Combine like terms: 2a + -3a = -1a
-1a + 2b + bx + -2x = 3a + -3a + ax

Combine like terms: 3a + -3a = 0
-1a + 2b + bx + -2x = 0 + ax
-1a + 2b + bx + -2x = ax

Add '-1ax' to each side of the equation.
-1a + 2b + bx + -1ax + -2x = ax + -1ax

Reorder the terms:
-1a + -1ax + 2b + bx + -2x = ax + -1ax

Combine like terms: ax + -1ax = 0
-1a + -1ax + 2b + bx + -2x = 0

Add '-2b' to each side of the equation.
-1a + -1ax + 2b + bx + -2b + -2x = 0 + -2b

Reorder the terms:
-1a + -1ax + 2b + -2b + bx + -2x = 0 + -2b

Combine like terms: 2b + -2b = 0
-1a + -1ax + 0 + bx + -2x = 0 + -2b
-1a + -1ax + bx + -2x = 0 + -2b
Remove the zero:
-1a + -1ax + bx + -2x = -2b

Add '-1bx' to each side of the equation.
-1a + -1ax + bx + -1bx + -2x = -2b + -1bx

Combine like terms: bx + -1bx = 0
-1a + -1ax + 0 + -2x = -2b + -1bx
-1a + -1ax + -2x = -2b + -1bx

Add '2x' to each side of the equation.
-1a + -1ax + -2x + 2x = -2b + -1bx + 2x

Combine like terms: -2x + 2x = 0
-1a + -1ax + 0 = -2b + -1bx + 2x
-1a + -1ax = -2b + -1bx + 2x

Reorder the terms:
-1a + -1ax + 2b + bx + -2x = -2b + 2b + -1bx + bx + 2x + -2x

Combine like terms: -2b + 2b = 0
-1a + -1ax + 2b + bx + -2x = 0 + -1bx + bx + 2x + -2x
-1a + -1ax + 2b + bx + -2x = -1bx + bx + 2x + -2x

Combine like terms: -1bx + bx = 0
-1a + -1ax + 2b + bx + -2x = 0 + 2x + -2x
-1a + -1ax + 2b + bx + -2x = 2x + -2x

Combine like terms: 2x + -2x = 0
-1a + -1ax + 2b + bx + -2x = 0

The solution to this equation could not be determined.