x=(8-5k)x

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Solution for x=(8-5k)x equation: 


Simplifying
x = (8 + -5k) * x

Reorder the terms for easier multiplication:
x = x(8 + -5k)
x = (8 * x + -5k * x)

Reorder the terms:
x = (-5kx + 8x)
x = (-5kx + 8x)

Solving
x = -5kx + 8x

Solving for variable 'x'.

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

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

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

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

Combine like terms: x + -8x = -7x
5kx + -7x = 8x + -8x

Combine like terms: 8x + -8x = 0
5kx + -7x = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(5k + -7) = 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 '(5k + -7)' equal to zero and attempt to solve:

Simplifying
5k + -7 = 0

Reorder the terms:
-7 + 5k = 0

Solving
-7 + 5k = 0

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

Add '7' to each side of the equation.
-7 + 7 + 5k = 0 + 7

Combine like terms: -7 + 7 = 0
0 + 5k = 0 + 7
5k = 0 + 7

Combine like terms: 0 + 7 = 7
5k = 7

Add '-5k' to each side of the equation.
5k + -5k = 7 + -5k

Combine like terms: 5k + -5k = 0
0 = 7 + -5k

Simplifying
0 = 7 + -5k

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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