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

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

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

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

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

Reorder the terms:
6 + -6 + 9x + -2x = x + 3

Combine like terms: 6 + -6 = 0
0 + 9x + -2x = x + 3
9x + -2x = x + 3

Combine like terms: 9x + -2x = 7x
7x = x + 3

Reorder the terms:
7x = 3 + x

Solving
7x = 3 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
7x + -1x = 3 + x + -1x

Combine like terms: 7x + -1x = 6x
6x = 3 + x + -1x

Combine like terms: x + -1x = 0
6x = 3 + 0
6x = 3

Divide each side by '6'.
x = 0.5

Simplifying
x = 0.5