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

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

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

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

Solving
-6 + 12x = 12 + 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.
-6 + 12x + -2x = 12 + 2x + -2x

Combine like terms: 12x + -2x = 10x
-6 + 10x = 12 + 2x + -2x

Combine like terms: 2x + -2x = 0
-6 + 10x = 12 + 0
-6 + 10x = 12

Add '6' to each side of the equation.
-6 + 6 + 10x = 12 + 6

Combine like terms: -6 + 6 = 0
0 + 10x = 12 + 6
10x = 12 + 6

Combine like terms: 12 + 6 = 18
10x = 18

Divide each side by '10'.
x = 1.8

Simplifying
x = 1.8