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

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


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

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

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

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

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

Solving
-3 + x = -2 + 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.
-3 + x + -6x = -2 + 6x + -6x

Combine like terms: x + -6x = -5x
-3 + -5x = -2 + 6x + -6x

Combine like terms: 6x + -6x = 0
-3 + -5x = -2 + 0
-3 + -5x = -2

Add '3' to each side of the equation.
-3 + 3 + -5x = -2 + 3

Combine like terms: -3 + 3 = 0
0 + -5x = -2 + 3
-5x = -2 + 3

Combine like terms: -2 + 3 = 1
-5x = 1

Divide each side by '-5'.
x = -0.2

Simplifying
x = -0.2

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