6(3x+1)=3(4x+2)

Solution for 6(3x+1)=3(4x+2) equation:

Simplifying
6(3x + 1) = 3(4x + 2)

Reorder the terms:
6(1 + 3x) = 3(4x + 2)
(1 * 6 + 3x * 6) = 3(4x + 2)
(6 + 18x) = 3(4x + 2)

Reorder the terms:
6 + 18x = 3(2 + 4x)
6 + 18x = (2 * 3 + 4x * 3)
6 + 18x = (6 + 12x)

Add '-6' to each side of the equation.
6 + -6 + 18x = 6 + -6 + 12x

Combine like terms: 6 + -6 = 0
0 + 18x = 6 + -6 + 12x
18x = 6 + -6 + 12x

Combine like terms: 6 + -6 = 0
18x = 0 + 12x
18x = 12x

Solving
18x = 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
18x + -12x = 12x + -12x

Combine like terms: 18x + -12x = 6x
6x = 12x + -12x

Combine like terms: 12x + -12x = 0
6x = 0

Divide each side by '6'.
x = 0

Simplifying
x = 0