3(3x+2)=2(x+9)-19

Solution for 3(3x+2)=2(x+9)-19 equation:

Simplifying
3(3x + 2) = 2(x + 9) + -19

Reorder the terms:
3(2 + 3x) = 2(x + 9) + -19
(2 * 3 + 3x * 3) = 2(x + 9) + -19
(6 + 9x) = 2(x + 9) + -19

Reorder the terms:
6 + 9x = 2(9 + x) + -19
6 + 9x = (9 * 2 + x * 2) + -19
6 + 9x = (18 + 2x) + -19

Reorder the terms:
6 + 9x = 18 + -19 + 2x

Combine like terms: 18 + -19 = -1
6 + 9x = -1 + 2x

Solving
6 + 9x = -1 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
6 + 9x + -2x = -1 + 2x + -2x

Combine like terms: 9x + -2x = 7x
6 + 7x = -1 + 2x + -2x

Combine like terms: 2x + -2x = 0
6 + 7x = -1 + 0
6 + 7x = -1

Add '-6' to each side of the equation.
6 + -6 + 7x = -1 + -6

Combine like terms: 6 + -6 = 0
0 + 7x = -1 + -6
7x = -1 + -6

Combine like terms: -1 + -6 = -7
7x = -7

Divide each side by '7'.
x = -1

Simplifying
x = -1