x+3(x+2)=30

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

Simplifying
x + 3(x + 2) = 30

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

Reorder the terms:
6 + x + 3x = 30

Combine like terms: x + 3x = 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