2(x-3)=6-8x

Solution for 2(x-3)=6-8x equation:

Simplifying
2(x + -3) = 6 + -8x

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

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

Combine like terms: 2x + 8x = 10x
-6 + 10x = 6 + -8x + 8x

Combine like terms: -8x + 8x = 0
-6 + 10x = 6 + 0
-6 + 10x = 6

Add '6' to each side of the equation.
-6 + 6 + 10x = 6 + 6

Combine like terms: -6 + 6 = 0
0 + 10x = 6 + 6
10x = 6 + 6

Combine like terms: 6 + 6 = 12
10x = 12

Divide each side by '10'.
x = 1.2

Simplifying
x = 1.2