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

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

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

Reorder the terms:
3(2 + x) = 6(x + -1)
(2 * 3 + x * 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)

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

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

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

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

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

Combine like terms: -6 + -6 = -12
-3x = -12

Divide each side by '-3'.
x = 4

Simplifying
x = 4