x=4x+5xg

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Solution for x=4x+5xg equation: 


Simplifying
x = 4x + 5xg

Reorder the terms:
x = 5gx + 4x

Solving
x = 5gx + 4x

Solving for variable 'x'.

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

Add '-5gx' to each side of the equation.
-5gx + x = 5gx + -5gx + 4x

Combine like terms: 5gx + -5gx = 0
-5gx + x = 0 + 4x
-5gx + x = 4x

Add '-4x' to each side of the equation.
-5gx + x + -4x = 4x + -4x

Combine like terms: x + -4x = -3x
-5gx + -3x = 4x + -4x

Combine like terms: 4x + -4x = 0
-5gx + -3x = 0

Factor out the Greatest Common Factor (GCF), '-1x'.
-1x(5g + 3) = 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 '(5g + 3)' equal to zero and attempt to solve:

Simplifying
5g + 3 = 0

Reorder the terms:
3 + 5g = 0

Solving
3 + 5g = 0

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

Add '-3' to each side of the equation.
3 + -3 + 5g = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 5g = 0 + -3
5g = 0 + -3

Combine like terms: 0 + -3 = -3
5g = -3

Add '-5g' to each side of the equation.
5g + -5g = -3 + -5g

Combine like terms: 5g + -5g = 0
0 = -3 + -5g

Simplifying
0 = -3 + -5g

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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