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

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


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

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

Remove parenthesis around (-1 + x)
-1 + x = 2(x + -6)

Reorder the terms:
-1 + x = 2(-6 + x)
-1 + x = (-6 * 2 + x * 2)
-1 + x = (-12 + 2x)

Solving
-1 + x = -12 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-1 + x + -2x = -12 + 2x + -2x

Combine like terms: x + -2x = -1x
-1 + -1x = -12 + 2x + -2x

Combine like terms: 2x + -2x = 0
-1 + -1x = -12 + 0
-1 + -1x = -12

Add '1' to each side of the equation.
-1 + 1 + -1x = -12 + 1

Combine like terms: -1 + 1 = 0
0 + -1x = -12 + 1
-1x = -12 + 1

Combine like terms: -12 + 1 = -11
-1x = -11

Divide each side by '-1'.
x = 11

Simplifying
x = 11

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