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

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


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

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

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

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

Combine like terms: 6x + 2x = 8x
-2 + 2x = -6 + 8x

Solving
-2 + 2x = -6 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-2 + 2x + -8x = -6 + 8x + -8x

Combine like terms: 2x + -8x = -6x
-2 + -6x = -6 + 8x + -8x

Combine like terms: 8x + -8x = 0
-2 + -6x = -6 + 0
-2 + -6x = -6

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

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

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

Divide each side by '-6'.
x = 0.6666666667

Simplifying
x = 0.6666666667

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