2(x+3)=3(x-5)+6x

Solution for 2(x+3)=3(x-5)+6x equation:

Simplifying
2(x + 3) = 3(x + -5) + 6x

Reorder the terms:
2(3 + x) = 3(x + -5) + 6x
(3 * 2 + x * 2) = 3(x + -5) + 6x
(6 + 2x) = 3(x + -5) + 6x

Reorder the terms:
6 + 2x = 3(-5 + x) + 6x
6 + 2x = (-5 * 3 + x * 3) + 6x
6 + 2x = (-15 + 3x) + 6x

Combine like terms: 3x + 6x = 9x
6 + 2x = -15 + 9x

Solving
6 + 2x = -15 + 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 = -15 + 9x + -9x

Combine like terms: 2x + -9x = -7x
6 + -7x = -15 + 9x + -9x

Combine like terms: 9x + -9x = 0
6 + -7x = -15 + 0
6 + -7x = -15

Add '-6' to each side of the equation.
6 + -6 + -7x = -15 + -6

Combine like terms: 6 + -6 = 0
0 + -7x = -15 + -6
-7x = -15 + -6

Combine like terms: -15 + -6 = -21
-7x = -21

Divide each side by '-7'.
x = 3

Simplifying
x = 3