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

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

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

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

Reorder the terms:
6 + 18x = 2(3 + 4x)
6 + 18x = (3 * 2 + 4x * 2)
6 + 18x = (6 + 8x)

Add '-6' to each side of the equation.
6 + -6 + 18x = 6 + -6 + 8x

Combine like terms: 6 + -6 = 0
0 + 18x = 6 + -6 + 8x
18x = 6 + -6 + 8x

Combine like terms: 6 + -6 = 0
18x = 0 + 8x
18x = 8x

Solving
18x = 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
18x + -8x = 8x + -8x

Combine like terms: 18x + -8x = 10x
10x = 8x + -8x

Combine like terms: 8x + -8x = 0
10x = 0

Divide each side by '10'.
x = 0.0

Simplifying
x = 0.0