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

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


Simplifying
a(x + 2) + -2 = x + 3ax

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

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

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

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

Solving for variable 'a'.

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

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

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

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

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

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

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

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

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

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

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

The solution to this equation could not be determined.

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