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

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

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

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

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

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

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

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

Solving
6x = 2x

Solving for variable 'x'.

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

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

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

Combine like terms: 2x + -2x = 0
4x = 0

Divide each side by '4'.
x = 0

Simplifying
x = 0