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

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


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

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

Reorder the terms:
3 + -2a + ax = 2x + -1b

Reorder the terms:
3 + -2a + ax = -1b + 2x

Solving
3 + -2a + ax = -1b + 2x

Solving for variable 'a'.

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

Add '-3' to each side of the equation.
3 + -2a + -3 + ax = -1b + -3 + 2x

Reorder the terms:
3 + -3 + -2a + ax = -1b + -3 + 2x

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

Reorder the terms:
-2a + ax = -3 + -1b + 2x

Reorder the terms:
3 + -2a + ax + b + -2x = -3 + -1b + 2x + 3 + b + -2x

Reorder the terms:
3 + -2a + ax + b + -2x = -3 + 3 + -1b + b + 2x + -2x

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

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

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

The solution to this equation could not be determined.

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