a(2x-2)=6a

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Solution for a(2x-2)=6a equation: 


Simplifying
a(2x + -2) = 6a

Reorder the terms:
a(-2 + 2x) = 6a
(-2 * a + 2x * a) = 6a
(-2a + 2ax) = 6a

Solving
-2a + 2ax = 6a

Solving for variable 'a'.

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

Add '-6a' to each side of the equation.
-2a + -6a + 2ax = 6a + -6a

Combine like terms: -2a + -6a = -8a
-8a + 2ax = 6a + -6a

Combine like terms: 6a + -6a = 0
-8a + 2ax = 0

Factor out the Greatest Common Factor (GCF), '2a'.
2a(-4 + x) = 0

Ignore the factor 2.

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

Simplifying
a = 0

Solving
a = 0

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

Simplifying
a = 0

Subproblem 2
Set the factor '(-4 + x)' equal to zero and attempt to solve:

Simplifying
-4 + x = 0

Solving
-4 + x = 0

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

Add '4' to each side of the equation.
-4 + 4 + x = 0 + 4

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

Combine like terms: 0 + 4 = 4
x = 4

Add '-1x' to each side of the equation.
x + -1x = 4 + -1x

Combine like terms: x + -1x = 0
0 = 4 + -1x

Simplifying
0 = 4 + -1x

The solution to this equation could not be determined.

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

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