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

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


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

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

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

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

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

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

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

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

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

Divide each side by '8'.
x = 1

Simplifying
x = 1

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