2g+(3xg)+4y-2y=8g+2y

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Solution for 2g+(3xg)+4y-2y=8g+2y equation: 


Simplifying
2g + (3xg) + 4y + -2y = 8g + 2y

Combine like terms: 4y + -2y = 2y
2g + (3gx) + 2y = 8g + 2y

Add '-2y' to each side of the equation.
2g + (3gx) + 2y + -2y = 8g + 2y + -2y

Combine like terms: 2y + -2y = 0
2g + (3gx) + 0 = 8g + 2y + -2y
2g + (3gx) = 8g + 2y + -2y

Combine like terms: 2y + -2y = 0
2g + (3gx) = 8g + 0
2g + (3gx) = 8g

Solving
2g + (3gx) = 8g

Solving for variable 'g'.

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

Add '-8g' to each side of the equation.
2g + -8g + (3gx) = 8g + -8g

Combine like terms: 2g + -8g = -6g
-6g + (3gx) = 8g + -8g

Combine like terms: 8g + -8g = 0
-6g + (3gx) = 0

Factor out the Greatest Common Factor (GCF), '3g'.
3g(-2 + x) = 0

Ignore the factor 3.

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

Simplifying
g = 0

Solving
g = 0

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

Simplifying
g = 0

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

Simplifying
-2 + x = 0

Solving
-2 + x = 0

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

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

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

Combine like terms: 0 + 2 = 2
x = 2

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

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

Simplifying
0 = 2 + -1x

The solution to this equation could not be determined.

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

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