2(x+3)=9(8-x)

Solution for 2(x+3)=9(8-x) equation:

Simplifying
2(x + 3) = 9(8 + -1x)

Reorder the terms:
2(3 + x) = 9(8 + -1x)
(3 * 2 + x * 2) = 9(8 + -1x)
(6 + 2x) = 9(8 + -1x)
6 + 2x = (8 * 9 + -1x * 9)
6 + 2x = (72 + -9x)

Solving
6 + 2x = 72 + -9x

Solving for variable 'x'.

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

Add '9x' to each side of the equation.
6 + 2x + 9x = 72 + -9x + 9x

Combine like terms: 2x + 9x = 11x
6 + 11x = 72 + -9x + 9x

Combine like terms: -9x + 9x = 0
6 + 11x = 72 + 0
6 + 11x = 72

Add '-6' to each side of the equation.
6 + -6 + 11x = 72 + -6

Combine like terms: 6 + -6 = 0
0 + 11x = 72 + -6
11x = 72 + -6

Combine like terms: 72 + -6 = 66
11x = 66

Divide each side by '11'.
x = 6

Simplifying
x = 6