111=7(1+5x)-1

Solution for 111=7(1+5x)-1 equation:

Simplifying
111 = 7(1 + 5x) + -1
111 = (1 * 7 + 5x * 7) + -1
111 = (7 + 35x) + -1

Reorder the terms:
111 = 7 + -1 + 35x

Combine like terms: 7 + -1 = 6
111 = 6 + 35x

Solving
111 = 6 + 35x

Solving for variable 'x'.

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

Add '-35x' to each side of the equation.
111 + -35x = 6 + 35x + -35x

Combine like terms: 35x + -35x = 0
111 + -35x = 6 + 0
111 + -35x = 6

Add '-111' to each side of the equation.
111 + -111 + -35x = 6 + -111

Combine like terms: 111 + -111 = 0
0 + -35x = 6 + -111
-35x = 6 + -111

Combine like terms: 6 + -111 = -105
-35x = -105

Divide each side by '-35'.
x = 3

Simplifying
x = 3