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

Solution for 8(x+4)-(x-5)=1 equation:

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

Reorder the terms:
8(4 + x) + -1(x + -5) = 1
(4 * 8 + x * 8) + -1(x + -5) = 1
(32 + 8x) + -1(x + -5) = 1

Reorder the terms:
32 + 8x + -1(-5 + x) = 1
32 + 8x + (-5 * -1 + x * -1) = 1
32 + 8x + (5 + -1x) = 1

Reorder the terms:
32 + 5 + 8x + -1x = 1

Combine like terms: 32 + 5 = 37
37 + 8x + -1x = 1

Combine like terms: 8x + -1x = 7x
37 + 7x = 1

Solving
37 + 7x = 1

Solving for variable 'x'.

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

Add '-37' to each side of the equation.
37 + -37 + 7x = 1 + -37

Combine like terms: 37 + -37 = 0
0 + 7x = 1 + -37
7x = 1 + -37

Combine like terms: 1 + -37 = -36
7x = -36

Divide each side by '7'.
x = -5.142857143

Simplifying
x = -5.142857143