5(x-1)=(x-3)

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Solution for 5(x-1)=(x-3) equation:


Simplifying
5(x + -1) = (x + -3)

Reorder the terms:
5(-1 + x) = (x + -3)
(-1 * 5 + x * 5) = (x + -3)
(-5 + 5x) = (x + -3)

Reorder the terms:
-5 + 5x = (-3 + x)

Remove parenthesis around (-3 + x)
-5 + 5x = -3 + x

Solving
-5 + 5x = -3 + 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.
-5 + 5x + -1x = -3 + x + -1x

Combine like terms: 5x + -1x = 4x
-5 + 4x = -3 + x + -1x

Combine like terms: x + -1x = 0
-5 + 4x = -3 + 0
-5 + 4x = -3

Add '5' to each side of the equation.
-5 + 5 + 4x = -3 + 5

Combine like terms: -5 + 5 = 0
0 + 4x = -3 + 5
4x = -3 + 5

Combine like terms: -3 + 5 = 2
4x = 2

Divide each side by '4'.
x = 0.5

Simplifying
x = 0.5

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