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

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

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

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

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

Solving
6 + 3x = 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 + 3x + -2x = 12 + 2x + -2x

Combine like terms: 3x + -2x = 1x
6 + 1x = 12 + 2x + -2x

Combine like terms: 2x + -2x = 0
6 + 1x = 12 + 0
6 + 1x = 12

Add '-6' to each side of the equation.
6 + -6 + 1x = 12 + -6

Combine like terms: 6 + -6 = 0
0 + 1x = 12 + -6
1x = 12 + -6

Combine like terms: 12 + -6 = 6
1x = 6

Divide each side by '1'.
x = 6

Simplifying
x = 6