-5(4x+1)+x+1=-42

Solution for -5(4x+1)+x+1=-42 equation:

Simplifying
-5(4x + 1) + x + 1 = -42

Reorder the terms:
-5(1 + 4x) + x + 1 = -42
(1 * -5 + 4x * -5) + x + 1 = -42
(-5 + -20x) + x + 1 = -42

Reorder the terms:
-5 + 1 + -20x + x = -42

Combine like terms: -5 + 1 = -4
-4 + -20x + x = -42

Combine like terms: -20x + x = -19x
-4 + -19x = -42

Solving
-4 + -19x = -42

Solving for variable 'x'.

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

Add '4' to each side of the equation.
-4 + 4 + -19x = -42 + 4

Combine like terms: -4 + 4 = 0
0 + -19x = -42 + 4
-19x = -42 + 4

Combine like terms: -42 + 4 = -38
-19x = -38

Divide each side by '-19'.
x = 2

Simplifying
x = 2