12x-(7x-6)=41

Solution for 12x-(7x-6)=41 equation:

Simplifying
12x + -1(7x + -6) = 41

Reorder the terms:
12x + -1(-6 + 7x) = 41
12x + (-6 * -1 + 7x * -1) = 41
12x + (6 + -7x) = 41

Reorder the terms:
6 + 12x + -7x = 41

Combine like terms: 12x + -7x = 5x
6 + 5x = 41

Solving
6 + 5x = 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 + 5x = 41 + -6

Combine like terms: 6 + -6 = 0
0 + 5x = 41 + -6
5x = 41 + -6

Combine like terms: 41 + -6 = 35
5x = 35

Divide each side by '5'.
x = 7

Simplifying
x = 7