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

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

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

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

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

Solving
6 + 2x = 12 + 6m

Solving for variable 'x'.

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

Add '-6' to each side of the equation.
6 + -6 + 2x = 12 + -6 + 6m

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

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

Divide each side by '2'.
x = 3 + 3m

Simplifying
x = 3 + 3m