2(x-3)=8x+2

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Solution for 2(x-3)=8x+2 equation:


Simplifying
2(x + -3) = 8x + 2

Reorder the terms:
2(-3 + x) = 8x + 2
(-3 * 2 + x * 2) = 8x + 2
(-6 + 2x) = 8x + 2

Reorder the terms:
-6 + 2x = 2 + 8x

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

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

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

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

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

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

Divide each side by '-6'.
x = -1.333333333

Simplifying
x = -1.333333333

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