7(x+6)+1=-1(x+2)

Solution for 7(x+6)+1=-1(x+2) equation:

Simplifying
7(x + 6) + 1 = -1(x + 2)

Reorder the terms:
7(6 + x) + 1 = -1(x + 2)
(6 * 7 + x * 7) + 1 = -1(x + 2)
(42 + 7x) + 1 = -1(x + 2)

Reorder the terms:
42 + 1 + 7x = -1(x + 2)

Combine like terms: 42 + 1 = 43
43 + 7x = -1(x + 2)

Reorder the terms:
43 + 7x = -1(2 + x)
43 + 7x = (2 * -1 + x * -1)
43 + 7x = (-2 + -1x)

Solving
43 + 7x = -2 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
43 + 7x + x = -2 + -1x + x

Combine like terms: 7x + x = 8x
43 + 8x = -2 + -1x + x

Combine like terms: -1x + x = 0
43 + 8x = -2 + 0
43 + 8x = -2

Add '-43' to each side of the equation.
43 + -43 + 8x = -2 + -43

Combine like terms: 43 + -43 = 0
0 + 8x = -2 + -43
8x = -2 + -43

Combine like terms: -2 + -43 = -45
8x = -45

Divide each side by '8'.
x = -5.625

Simplifying
x = -5.625