2x+2(x+3)=30

Solution for 2x+2(x+3)=30 equation:

Simplifying
2x + 2(x + 3) = 30

Reorder the terms:
2x + 2(3 + x) = 30
2x + (3 * 2 + x * 2) = 30
2x + (6 + 2x) = 30

Reorder the terms:
6 + 2x + 2x = 30

Combine like terms: 2x + 2x = 4x
6 + 4x = 30

Solving
6 + 4x = 30

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 + 4x = 30 + -6

Combine like terms: 6 + -6 = 0
0 + 4x = 30 + -6
4x = 30 + -6

Combine like terms: 30 + -6 = 24
4x = 24

Divide each side by '4'.
x = 6

Simplifying
x = 6