4x=5x-4(findx)

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Solution for 4x=5x-4(findx) equation: 


Simplifying
4x = 5x + -4(findx)

Reorder the terms:
4x = -4dfinx + 5x

Solving
4x = -4dfinx + 5x

Solving for variable 'x'.

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

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

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

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

Combine like terms: 4x + -5x = -1x
4dfinx + -1x = 5x + -5x

Combine like terms: 5x + -5x = 0
4dfinx + -1x = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(4dfin + -1) = 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 '(4dfin + -1)' equal to zero and attempt to solve:

Simplifying
4dfin + -1 = 0

Reorder the terms:
-1 + 4dfin = 0

Solving
-1 + 4dfin = 0

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

Add '1' to each side of the equation.
-1 + 1 + 4dfin = 0 + 1

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

Combine like terms: 0 + 1 = 1
4dfin = 1

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

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

Simplifying
0 = 1 + -4dfin

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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