Simplifying
-6 + 2x + 3x = 29

Combine like terms: 2x + 3x = 5x
-6 + 5x = 29

Solving
-6 + 5x = 29

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 = 29 + 6

Combine like terms: -6 + 6 = 0
0 + 5x = 29 + 6
5x = 29 + 6

Combine like terms: 29 + 6 = 35
5x = 35

Divide each side by '5'.
x = 7

Simplifying
x = 7