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

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

Simplifying
6(1 + 3x) = -3(x + -2)
(1 * 6 + 3x * 6) = -3(x + -2)
(6 + 18x) = -3(x + -2)

Reorder the terms:
6 + 18x = -3(-2 + x)
6 + 18x = (-2 * -3 + x * -3)
6 + 18x = (6 + -3x)

Add '-6' to each side of the equation.
6 + -6 + 18x = 6 + -6 + -3x

Combine like terms: 6 + -6 = 0
0 + 18x = 6 + -6 + -3x
18x = 6 + -6 + -3x

Combine like terms: 6 + -6 = 0
18x = 0 + -3x
18x = -3x

Solving
18x = -3x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '3x' to each side of the equation.
18x + 3x = -3x + 3x

Combine like terms: 18x + 3x = 21x
21x = -3x + 3x

Combine like terms: -3x + 3x = 0
21x = 0

Divide each side by '21'.
x = 0

Simplifying
x = 0