2ax-a=a+2

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Solution for 2ax-a=a+2 equation:


Simplifying
2ax + -1a = a + 2

Reorder the terms:
-1a + 2ax = a + 2

Reorder the terms:
-1a + 2ax = 2 + a

Solving
-1a + 2ax = 2 + a

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.
-1a + -1a + 2ax = 2 + a + -1a

Combine like terms: -1a + -1a = -2a
-2a + 2ax = 2 + a + -1a

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

Reorder the terms:
-2 + -2a + 2ax = 2 + -2

Combine like terms: 2 + -2 = 0
-2 + -2a + 2ax = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-1 + -1a + ax) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-1 + -1a + ax)' equal to zero and attempt to solve: Simplifying -1 + -1a + ax = 0 Solving -1 + -1a + ax = 0 Move all terms containing a to the left, all other terms to the right. Add '1' to each side of the equation. -1 + -1a + 1 + ax = 0 + 1 Reorder the terms: -1 + 1 + -1a + ax = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1a + ax = 0 + 1 -1a + ax = 0 + 1 Combine like terms: 0 + 1 = 1 -1a + ax = 1 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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