9x-(2x-6)=41

Solution for 9x-(2x-6)=41 equation:

Simplifying
9x + -1(2x + -6) = 41

Reorder the terms:
9x + -1(-6 + 2x) = 41
9x + (-6 * -1 + 2x * -1) = 41
9x + (6 + -2x) = 41

Reorder the terms:
6 + 9x + -2x = 41

Combine like terms: 9x + -2x = 7x
6 + 7x = 41

Solving
6 + 7x = 41

Solving for variable 'x'.

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

Add '-6' to each side of the equation.
6 + -6 + 7x = 41 + -6

Combine like terms: 6 + -6 = 0
0 + 7x = 41 + -6
7x = 41 + -6

Combine like terms: 41 + -6 = 35
7x = 35

Divide each side by '7'.
x = 5

Simplifying
x = 5