2(x+3)+2(x+4)=30

Solution for 2(x+3)+2(x+4)=30 equation:

Simplifying
2(x + 3) + 2(x + 4) = 30

Reorder the terms:
2(3 + x) + 2(x + 4) = 30
(3 * 2 + x * 2) + 2(x + 4) = 30
(6 + 2x) + 2(x + 4) = 30

Reorder the terms:
6 + 2x + 2(4 + x) = 30
6 + 2x + (4 * 2 + x * 2) = 30
6 + 2x + (8 + 2x) = 30

Reorder the terms:
6 + 8 + 2x + 2x = 30

Combine like terms: 6 + 8 = 14
14 + 2x + 2x = 30

Combine like terms: 2x + 2x = 4x
14 + 4x = 30

Solving
14 + 4x = 30

Solving for variable 'x'.

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

Add '-14' to each side of the equation.
14 + -14 + 4x = 30 + -14

Combine like terms: 14 + -14 = 0
0 + 4x = 30 + -14
4x = 30 + -14

Combine like terms: 30 + -14 = 16
4x = 16

Divide each side by '4'.
x = 4

Simplifying
x = 4