x=ax+3x

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Solution for x=ax+3x equation: 


Simplifying
x = ax + 3x

Solving
x = ax + 3x

Solving for variable 'x'.

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

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

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

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

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

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

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

Ignore the factor -1.

Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(a + 2)' equal to zero and attempt to solve:

Simplifying
a + 2 = 0

Reorder the terms:
2 + a = 0

Solving
2 + a = 0

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

Add '-2' to each side of the equation.
2 + -2 + a = 0 + -2

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

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

Add '-1a' to each side of the equation.
a + -1a = -2 + -1a

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

Simplifying
0 = -2 + -1a

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
x = {0}

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