7(x+1)-1=2-(5+2x)

Solution for 7(x+1)-1=2-(5+2x) equation:

Simplifying
7(x + 1) + -1 = 2 + -1(5 + 2x)

Reorder the terms:
7(1 + x) + -1 = 2 + -1(5 + 2x)
(1 * 7 + x * 7) + -1 = 2 + -1(5 + 2x)
(7 + 7x) + -1 = 2 + -1(5 + 2x)

Reorder the terms:
7 + -1 + 7x = 2 + -1(5 + 2x)

Combine like terms: 7 + -1 = 6
6 + 7x = 2 + -1(5 + 2x)
6 + 7x = 2 + (5 * -1 + 2x * -1)
6 + 7x = 2 + (-5 + -2x)

Combine like terms: 2 + -5 = -3
6 + 7x = -3 + -2x

Solving
6 + 7x = -3 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
6 + 7x + 2x = -3 + -2x + 2x

Combine like terms: 7x + 2x = 9x
6 + 9x = -3 + -2x + 2x

Combine like terms: -2x + 2x = 0
6 + 9x = -3 + 0
6 + 9x = -3

Add '-6' to each side of the equation.
6 + -6 + 9x = -3 + -6

Combine like terms: 6 + -6 = 0
0 + 9x = -3 + -6
9x = -3 + -6

Combine like terms: -3 + -6 = -9
9x = -9

Divide each side by '9'.
x = -1

Simplifying
x = -1