-9(x-4)-(x+1)=1

Solution for -9(x-4)-(x+1)=1 equation:

Simplifying
-9(x + -4) + -1(x + 1) = 1

Reorder the terms:
-9(-4 + x) + -1(x + 1) = 1
(-4 * -9 + x * -9) + -1(x + 1) = 1
(36 + -9x) + -1(x + 1) = 1

Reorder the terms:
36 + -9x + -1(1 + x) = 1
36 + -9x + (1 * -1 + x * -1) = 1
36 + -9x + (-1 + -1x) = 1

Reorder the terms:
36 + -1 + -9x + -1x = 1

Combine like terms: 36 + -1 = 35
35 + -9x + -1x = 1

Combine like terms: -9x + -1x = -10x
35 + -10x = 1

Solving
35 + -10x = 1

Solving for variable 'x'.

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

Add '-35' to each side of the equation.
35 + -35 + -10x = 1 + -35

Combine like terms: 35 + -35 = 0
0 + -10x = 1 + -35
-10x = 1 + -35

Combine like terms: 1 + -35 = -34
-10x = -34

Divide each side by '-10'.
x = 3.4

Simplifying
x = 3.4