3(x+2)+2(x+3)=27

Solution for 3(x+2)+2(x+3)=27 equation:

Simplifying
3(x + 2) + 2(x + 3) = 27

Reorder the terms:
3(2 + x) + 2(x + 3) = 27
(2 * 3 + x * 3) + 2(x + 3) = 27
(6 + 3x) + 2(x + 3) = 27

Reorder the terms:
6 + 3x + 2(3 + x) = 27
6 + 3x + (3 * 2 + x * 2) = 27
6 + 3x + (6 + 2x) = 27

Reorder the terms:
6 + 6 + 3x + 2x = 27

Combine like terms: 6 + 6 = 12
12 + 3x + 2x = 27

Combine like terms: 3x + 2x = 5x
12 + 5x = 27

Solving
12 + 5x = 27

Solving for variable 'x'.

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

Add '-12' to each side of the equation.
12 + -12 + 5x = 27 + -12

Combine like terms: 12 + -12 = 0
0 + 5x = 27 + -12
5x = 27 + -12

Combine like terms: 27 + -12 = 15
5x = 15

Divide each side by '5'.
x = 3

Simplifying
x = 3