4(x-1)=(x-1)

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Solution for 4(x-1)=(x-1) equation:


Simplifying
4(x + -1) = (x + -1)

Reorder the terms:
4(-1 + x) = (x + -1)
(-1 * 4 + x * 4) = (x + -1)
(-4 + 4x) = (x + -1)

Reorder the terms:
-4 + 4x = (-1 + x)

Remove parenthesis around (-1 + x)
-4 + 4x = -1 + x

Solving
-4 + 4x = -1 + 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.
-4 + 4x + -1x = -1 + x + -1x

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

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

Add '4' to each side of the equation.
-4 + 4 + 3x = -1 + 4

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

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

Divide each side by '3'.
x = 1

Simplifying
x = 1

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