2(3+5x)=9(x-3)

Solution for 2(3+5x)=9(x-3) equation:

Simplifying
2(3 + 5x) = 9(x + -3)
(3 * 2 + 5x * 2) = 9(x + -3)
(6 + 10x) = 9(x + -3)

Reorder the terms:
6 + 10x = 9(-3 + x)
6 + 10x = (-3 * 9 + x * 9)
6 + 10x = (-27 + 9x)

Solving
6 + 10x = -27 + 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 + 10x + -9x = -27 + 9x + -9x

Combine like terms: 10x + -9x = 1x
6 + 1x = -27 + 9x + -9x

Combine like terms: 9x + -9x = 0
6 + 1x = -27 + 0
6 + 1x = -27

Add '-6' to each side of the equation.
6 + -6 + 1x = -27 + -6

Combine like terms: 6 + -6 = 0
0 + 1x = -27 + -6
1x = -27 + -6

Combine like terms: -27 + -6 = -33
1x = -33

Divide each side by '1'.
x = -33

Simplifying
x = -33