2(x+3)+3(x+2)=42

Solution for 2(x+3)+3(x+2)=42 equation:

Simplifying
2(x + 3) + 3(x + 2) = 42

Reorder the terms:
2(3 + x) + 3(x + 2) = 42
(3 * 2 + x * 2) + 3(x + 2) = 42
(6 + 2x) + 3(x + 2) = 42

Reorder the terms:
6 + 2x + 3(2 + x) = 42
6 + 2x + (2 * 3 + x * 3) = 42
6 + 2x + (6 + 3x) = 42

Reorder the terms:
6 + 6 + 2x + 3x = 42

Combine like terms: 6 + 6 = 12
12 + 2x + 3x = 42

Combine like terms: 2x + 3x = 5x
12 + 5x = 42

Solving
12 + 5x = 42

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 = 42 + -12

Combine like terms: 12 + -12 = 0
0 + 5x = 42 + -12
5x = 42 + -12

Combine like terms: 42 + -12 = 30
5x = 30

Divide each side by '5'.
x = 6

Simplifying
x = 6