6(x-1)=(x-2)

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Solution for 6(x-1)=(x-2) equation:


Simplifying
6(x + -1) = (x + -2)

Reorder the terms:
6(-1 + x) = (x + -2)
(-1 * 6 + x * 6) = (x + -2)
(-6 + 6x) = (x + -2)

Reorder the terms:
-6 + 6x = (-2 + x)

Remove parenthesis around (-2 + x)
-6 + 6x = -2 + x

Solving
-6 + 6x = -2 + 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.
-6 + 6x + -1x = -2 + x + -1x

Combine like terms: 6x + -1x = 5x
-6 + 5x = -2 + x + -1x

Combine like terms: x + -1x = 0
-6 + 5x = -2 + 0
-6 + 5x = -2

Add '6' to each side of the equation.
-6 + 6 + 5x = -2 + 6

Combine like terms: -6 + 6 = 0
0 + 5x = -2 + 6
5x = -2 + 6

Combine like terms: -2 + 6 = 4
5x = 4

Divide each side by '5'.
x = 0.8

Simplifying
x = 0.8

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