3(2-x)=6(x+1)

Solution for 3(2-x)=6(x+1) equation:

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

Reorder the terms:
6 + -3x = 6(1 + x)
6 + -3x = (1 * 6 + x * 6)
6 + -3x = (6 + 6x)

Add '-6' to each side of the equation.
6 + -6 + -3x = 6 + -6 + 6x

Combine like terms: 6 + -6 = 0
0 + -3x = 6 + -6 + 6x
-3x = 6 + -6 + 6x

Combine like terms: 6 + -6 = 0
-3x = 0 + 6x
-3x = 6x

Solving
-3x = 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.
-3x + -6x = 6x + -6x

Combine like terms: -3x + -6x = -9x
-9x = 6x + -6x

Combine like terms: 6x + -6x = 0
-9x = 0

Divide each side by '-9'.
x = 0

Simplifying
x = 0