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

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

Simplifying
2(3 + -1x) = 8(x + 6)
(3 * 2 + -1x * 2) = 8(x + 6)
(6 + -2x) = 8(x + 6)

Reorder the terms:
6 + -2x = 8(6 + x)
6 + -2x = (6 * 8 + x * 8)
6 + -2x = (48 + 8x)

Solving
6 + -2x = 48 + 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 = 48 + 8x + -8x

Combine like terms: -2x + -8x = -10x
6 + -10x = 48 + 8x + -8x

Combine like terms: 8x + -8x = 0
6 + -10x = 48 + 0
6 + -10x = 48

Add '-6' to each side of the equation.
6 + -6 + -10x = 48 + -6

Combine like terms: 6 + -6 = 0
0 + -10x = 48 + -6
-10x = 48 + -6

Combine like terms: 48 + -6 = 42
-10x = 42

Divide each side by '-10'.
x = -4.2

Simplifying
x = -4.2