2ax-10=(a-2)x+5a

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Solution for 2ax-10=(a-2)x+5a equation:


Simplifying
2ax + -10 = (a + -2) * x + 5a

Reorder the terms:
-10 + 2ax = (a + -2) * x + 5a

Reorder the terms:
-10 + 2ax = (-2 + a) * x + 5a

Reorder the terms for easier multiplication:
-10 + 2ax = x(-2 + a) + 5a
-10 + 2ax = (-2 * x + a * x) + 5a

Reorder the terms:
-10 + 2ax = (ax + -2x) + 5a
-10 + 2ax = (ax + -2x) + 5a

Reorder the terms:
-10 + 2ax = 5a + ax + -2x

Solving
-10 + 2ax = 5a + ax + -2x

Solving for variable 'a'.

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

Add '-5a' to each side of the equation.
-10 + -5a + 2ax = 5a + ax + -5a + -2x

Reorder the terms:
-10 + -5a + 2ax = 5a + -5a + ax + -2x

Combine like terms: 5a + -5a = 0
-10 + -5a + 2ax = 0 + ax + -2x
-10 + -5a + 2ax = ax + -2x

Add '-1ax' to each side of the equation.
-10 + -5a + 2ax + -1ax = ax + -1ax + -2x

Combine like terms: 2ax + -1ax = 1ax
-10 + -5a + 1ax = ax + -1ax + -2x

Combine like terms: ax + -1ax = 0
-10 + -5a + 1ax = 0 + -2x
-10 + -5a + 1ax = -2x

Add '10' to each side of the equation.
-10 + -5a + 10 + 1ax = 10 + -2x

Reorder the terms:
-10 + 10 + -5a + 1ax = 10 + -2x

Combine like terms: -10 + 10 = 0
0 + -5a + 1ax = 10 + -2x
-5a + 1ax = 10 + -2x

Reorder the terms:
-10 + -5a + 1ax + 2x = 10 + -2x + -10 + 2x

Reorder the terms:
-10 + -5a + 1ax + 2x = 10 + -10 + -2x + 2x

Combine like terms: 10 + -10 = 0
-10 + -5a + 1ax + 2x = 0 + -2x + 2x
-10 + -5a + 1ax + 2x = -2x + 2x

Combine like terms: -2x + 2x = 0
-10 + -5a + 1ax + 2x = 0

The solution to this equation could not be determined.

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