5(5x-20)=25(x-4)e

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Solution for 5(5x-20)=25(x-4)e equation:


Simplifying
5(5x + -20) = 25(x + -4) * e

Reorder the terms:
5(-20 + 5x) = 25(x + -4) * e
(-20 * 5 + 5x * 5) = 25(x + -4) * e
(-100 + 25x) = 25(x + -4) * e

Reorder the terms:
-100 + 25x = 25(-4 + x) * e

Reorder the terms for easier multiplication:
-100 + 25x = 25e(-4 + x)
-100 + 25x = (-4 * 25e + x * 25e)
-100 + 25x = (-100e + 25ex)

Solving
-100 + 25x = -100e + 25ex

Solving for variable 'x'.

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

Add '-25ex' to each side of the equation.
-100 + -25ex + 25x = -100e + 25ex + -25ex

Combine like terms: 25ex + -25ex = 0
-100 + -25ex + 25x = -100e + 0
-100 + -25ex + 25x = -100e

Add '100' to each side of the equation.
-100 + -25ex + 100 + 25x = 100 + -100e

Reorder the terms:
-100 + 100 + -25ex + 25x = 100 + -100e

Combine like terms: -100 + 100 = 0
0 + -25ex + 25x = 100 + -100e
-25ex + 25x = 100 + -100e

Reorder the terms:
-100 + 100e + -25ex + 25x = 100 + -100e + -100 + 100e

Reorder the terms:
-100 + 100e + -25ex + 25x = 100 + -100 + -100e + 100e

Combine like terms: 100 + -100 = 0
-100 + 100e + -25ex + 25x = 0 + -100e + 100e
-100 + 100e + -25ex + 25x = -100e + 100e

Combine like terms: -100e + 100e = 0
-100 + 100e + -25ex + 25x = 0

Factor out the Greatest Common Factor (GCF), '25'.
25(-4 + 4e + -1ex + x) = 0

Ignore the factor 25.

Subproblem 1

Set the factor '(-4 + 4e + -1ex + x)' equal to zero and attempt to solve: Simplifying -4 + 4e + -1ex + x = 0 Solving -4 + 4e + -1ex + x = 0 Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4e + -1ex + 4 + x = 0 + 4 Reorder the terms: -4 + 4 + 4e + -1ex + x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 4e + -1ex + x = 0 + 4 4e + -1ex + x = 0 + 4 Combine like terms: 0 + 4 = 4 4e + -1ex + x = 4 Add '-4e' to each side of the equation. 4e + -1ex + -4e + x = 4 + -4e Reorder the terms: 4e + -4e + -1ex + x = 4 + -4e Combine like terms: 4e + -4e = 0 0 + -1ex + x = 4 + -4e -1ex + x = 4 + -4e The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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