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

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

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

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

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

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

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

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

Solving
2x = 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.
2x + -6x = 6x + -6x

Combine like terms: 2x + -6x = -4x
-4x = 6x + -6x

Combine like terms: 6x + -6x = 0
-4x = 0

Divide each side by '-4'.
x = 0

Simplifying
x = 0