2(x+3)-x=7(x-3)-6

Solution for 2(x+3)-x=7(x-3)-6 equation:

Simplifying
2(x + 3) + -1x = 7(x + -3) + -6

Reorder the terms:
2(3 + x) + -1x = 7(x + -3) + -6
(3 * 2 + x * 2) + -1x = 7(x + -3) + -6
(6 + 2x) + -1x = 7(x + -3) + -6

Combine like terms: 2x + -1x = 1x
6 + 1x = 7(x + -3) + -6

Reorder the terms:
6 + 1x = 7(-3 + x) + -6
6 + 1x = (-3 * 7 + x * 7) + -6
6 + 1x = (-21 + 7x) + -6

Reorder the terms:
6 + 1x = -21 + -6 + 7x

Combine like terms: -21 + -6 = -27
6 + 1x = -27 + 7x

Solving
6 + 1x = -27 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
6 + 1x + -7x = -27 + 7x + -7x

Combine like terms: 1x + -7x = -6x
6 + -6x = -27 + 7x + -7x

Combine like terms: 7x + -7x = 0
6 + -6x = -27 + 0
6 + -6x = -27

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

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

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

Divide each side by '-6'.
x = 5.5

Simplifying
x = 5.5