4(x-2)+x=ax-8

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Solution for 4(x-2)+x=ax-8 equation: 


Simplifying
4(x + -2) + x = ax + -8

Reorder the terms:
4(-2 + x) + x = ax + -8
(-2 * 4 + x * 4) + x = ax + -8
(-8 + 4x) + x = ax + -8

Combine like terms: 4x + x = 5x
-8 + 5x = ax + -8

Reorder the terms:
-8 + 5x = -8 + ax

Add '8' to each side of the equation.
-8 + 8 + 5x = -8 + 8 + ax

Combine like terms: -8 + 8 = 0
0 + 5x = -8 + 8 + ax
5x = -8 + 8 + ax

Combine like terms: -8 + 8 = 0
5x = 0 + ax
5x = ax

Solving
5x = ax

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 + 5x = ax + -1ax

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

Factor out the Greatest Common Factor (GCF), 'x'.
x(-1a + 5) = 0


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 '(-1a + 5)' equal to zero and attempt to solve:

Simplifying
-1a + 5 = 0

Reorder the terms:
5 + -1a = 0

Solving
5 + -1a = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1a = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1a = 0 + -5
-1a = 0 + -5

Combine like terms: 0 + -5 = -5
-1a = -5

Add 'a' to each side of the equation.
-1a + a = -5 + a

Combine like terms: -1a + a = 0
0 = -5 + a

Simplifying
0 = -5 + a

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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