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

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

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

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

Remove parenthesis around (-1 + x)
-1 + x = -1(x + 5) * 7

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

Reorder the terms for easier multiplication:
-1 + x = -1 * 7(5 + x)

Multiply -1 * 7
-1 + x = -7(5 + x)
-1 + x = (5 * -7 + x * -7)
-1 + x = (-35 + -7x)

Solving
-1 + x = -35 + -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.
-1 + x + 7x = -35 + -7x + 7x

Combine like terms: x + 7x = 8x
-1 + 8x = -35 + -7x + 7x

Combine like terms: -7x + 7x = 0
-1 + 8x = -35 + 0
-1 + 8x = -35

Add '1' to each side of the equation.
-1 + 1 + 8x = -35 + 1

Combine like terms: -1 + 1 = 0
0 + 8x = -35 + 1
8x = -35 + 1

Combine like terms: -35 + 1 = -34
8x = -34

Divide each side by '8'.
x = -4.25

Simplifying
x = -4.25