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

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

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

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

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

Solving
2 + 6X = -6 + -2x

Solving for variable 'X'.

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

Add '-2' to each side of the equation.
2 + -2 + 6X = -6 + -2 + -2x

Combine like terms: 2 + -2 = 0
0 + 6X = -6 + -2 + -2x
6X = -6 + -2 + -2x

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

Divide each side by '6'.
X = -1.333333333 + -0.3333333333x

Simplifying
X = -1.333333333 + -0.3333333333x