(x-2)=12(x-3)

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Solution for (x-2)=12(x-3) equation:


Simplifying
(x + -2) = 12(x + -3)

Reorder the terms:
(-2 + x) = 12(x + -3)

Remove parenthesis around (-2 + x)
-2 + x = 12(x + -3)

Reorder the terms:
-2 + x = 12(-3 + x)
-2 + x = (-3 * 12 + x * 12)
-2 + x = (-36 + 12x)

Solving
-2 + x = -36 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
-2 + x + -12x = -36 + 12x + -12x

Combine like terms: x + -12x = -11x
-2 + -11x = -36 + 12x + -12x

Combine like terms: 12x + -12x = 0
-2 + -11x = -36 + 0
-2 + -11x = -36

Add '2' to each side of the equation.
-2 + 2 + -11x = -36 + 2

Combine like terms: -2 + 2 = 0
0 + -11x = -36 + 2
-11x = -36 + 2

Combine like terms: -36 + 2 = -34
-11x = -34

Divide each side by '-11'.
x = 3.090909091

Simplifying
x = 3.090909091

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