3(3x+2)=34-x

Solution for 3(3x+2)=34-x equation:

Simplifying
3(3x + 2) = 34 + -1x

Reorder the terms:
3(2 + 3x) = 34 + -1x
(2 * 3 + 3x * 3) = 34 + -1x
(6 + 9x) = 34 + -1x

Solving
6 + 9x = 34 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
6 + 9x + x = 34 + -1x + x

Combine like terms: 9x + x = 10x
6 + 10x = 34 + -1x + x

Combine like terms: -1x + x = 0
6 + 10x = 34 + 0
6 + 10x = 34

Add '-6' to each side of the equation.
6 + -6 + 10x = 34 + -6

Combine like terms: 6 + -6 = 0
0 + 10x = 34 + -6
10x = 34 + -6

Combine like terms: 34 + -6 = 28
10x = 28

Divide each side by '10'.
x = 2.8

Simplifying
x = 2.8