7x-(6x+6)=1

Solution for 7x-(6x+6)=1 equation:

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

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

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

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

Solving
-6 + 1x = 1

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 + 1x = 1 + 6

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

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

Divide each side by '1'.
x = 7

Simplifying
x = 7