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

Solution for 9(x+4)-(5x-1)=4 equation:

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

Reorder the terms:
9(4 + x) + -1(5x + -1) = 4
(4 * 9 + x * 9) + -1(5x + -1) = 4
(36 + 9x) + -1(5x + -1) = 4

Reorder the terms:
36 + 9x + -1(-1 + 5x) = 4
36 + 9x + (-1 * -1 + 5x * -1) = 4
36 + 9x + (1 + -5x) = 4

Reorder the terms:
36 + 1 + 9x + -5x = 4

Combine like terms: 36 + 1 = 37
37 + 9x + -5x = 4

Combine like terms: 9x + -5x = 4x
37 + 4x = 4

Solving
37 + 4x = 4

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 + 4x = 4 + -37

Combine like terms: 37 + -37 = 0
0 + 4x = 4 + -37
4x = 4 + -37

Combine like terms: 4 + -37 = -33
4x = -33

Divide each side by '4'.
x = -8.25

Simplifying
x = -8.25