2x+3(x+2)=16

Solution for 2x+3(x+2)=16 equation:

Simplifying
2x + 3(x + 2) = 16

Reorder the terms:
2x + 3(2 + x) = 16
2x + (2 * 3 + x * 3) = 16
2x + (6 + 3x) = 16

Reorder the terms:
6 + 2x + 3x = 16

Combine like terms: 2x + 3x = 5x
6 + 5x = 16

Solving
6 + 5x = 16

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 + 5x = 16 + -6

Combine like terms: 6 + -6 = 0
0 + 5x = 16 + -6
5x = 16 + -6

Combine like terms: 16 + -6 = 10
5x = 10

Divide each side by '5'.
x = 2

Simplifying
x = 2