4x-(1-7x)=-89

Solution for 4x-(1-7x)=-89 equation:

Simplifying
4x + -1(1 + -7x) = -89
4x + (1 * -1 + -7x * -1) = -89
4x + (-1 + 7x) = -89

Reorder the terms:
-1 + 4x + 7x = -89

Combine like terms: 4x + 7x = 11x
-1 + 11x = -89

Solving
-1 + 11x = -89

Solving for variable 'x'.

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

Add '1' to each side of the equation.
-1 + 1 + 11x = -89 + 1

Combine like terms: -1 + 1 = 0
0 + 11x = -89 + 1
11x = -89 + 1

Combine like terms: -89 + 1 = -88
11x = -88

Divide each side by '11'.
x = -8

Simplifying
x = -8