2(x-3)=8x

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

Simplifying
2(x + -3) = 8x

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

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

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

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

Add '6' to each side of the equation.
-6 + 6 + -6x = 0 + 6

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

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

Divide each side by '-6'.
x = -1

Simplifying
x = -1