(x-2)=6(x-3)

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Solution for (x-2)=6(x-3) equation:


Simplifying
(x + -2) = 6(x + -3)

Reorder the terms:
(-2 + x) = 6(x + -3)

Remove parenthesis around (-2 + x)
-2 + x = 6(x + -3)

Reorder the terms:
-2 + x = 6(-3 + x)
-2 + x = (-3 * 6 + x * 6)
-2 + x = (-18 + 6x)

Solving
-2 + x = -18 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-2 + x + -6x = -18 + 6x + -6x

Combine like terms: x + -6x = -5x
-2 + -5x = -18 + 6x + -6x

Combine like terms: 6x + -6x = 0
-2 + -5x = -18 + 0
-2 + -5x = -18

Add '2' to each side of the equation.
-2 + 2 + -5x = -18 + 2

Combine like terms: -2 + 2 = 0
0 + -5x = -18 + 2
-5x = -18 + 2

Combine like terms: -18 + 2 = -16
-5x = -16

Divide each side by '-5'.
x = 3.2

Simplifying
x = 3.2

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