5(x-5)=(x-4)

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


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

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

Reorder the terms:
-25 + 5x = (-4 + x)

Remove parenthesis around (-4 + x)
-25 + 5x = -4 + x

Solving
-25 + 5x = -4 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-25 + 5x + -1x = -4 + x + -1x

Combine like terms: 5x + -1x = 4x
-25 + 4x = -4 + x + -1x

Combine like terms: x + -1x = 0
-25 + 4x = -4 + 0
-25 + 4x = -4

Add '25' to each side of the equation.
-25 + 25 + 4x = -4 + 25

Combine like terms: -25 + 25 = 0
0 + 4x = -4 + 25
4x = -4 + 25

Combine like terms: -4 + 25 = 21
4x = 21

Divide each side by '4'.
x = 5.25

Simplifying
x = 5.25

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