9(x+4)-(2x-1)=1

Solution for 9(x+4)-(2x-1)=1 equation:

Simplifying
9(x + 4) + -1(2x + -1) = 1

Reorder the terms:
9(4 + x) + -1(2x + -1) = 1
(4 * 9 + x * 9) + -1(2x + -1) = 1
(36 + 9x) + -1(2x + -1) = 1

Reorder the terms:
36 + 9x + -1(-1 + 2x) = 1
36 + 9x + (-1 * -1 + 2x * -1) = 1
36 + 9x + (1 + -2x) = 1

Reorder the terms:
36 + 1 + 9x + -2x = 1

Combine like terms: 36 + 1 = 37
37 + 9x + -2x = 1

Combine like terms: 9x + -2x = 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