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

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

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

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

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

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

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

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

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

Solving
6 + 6x = 1 + 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 + 6x + -7x = 1 + 7x + -7x

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

Combine like terms: 7x + -7x = 0
6 + -1x = 1 + 0
6 + -1x = 1

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 = -5
-1x = -5

Divide each side by '-1'.
x = 5

Simplifying
x = 5