9(x-4)+13=4x-23
Multiply 9 by each term inside the parentheses.
(9x-36)+13=4x-23
Add 13 to -36 to get -23.
9x-23=4x-23
Since 4x contains the variable to solve for, move it to the left-hand side of the equation by subtracting 4x from both sides.
9x-23-4x=-23
Since 9x and -4x are like terms, add -4x to 9x to get 5x.
5x-23=-23
Since -23 does not contain the variable to solve for, move it to the right-hand side of the equation by adding 23 to both sides.
5x=23-23
Subtract 23 from 23 to get 0.
5x=0
Divide each term in the equation by 5.
(5x)/(5)=(0)/(5)
Simplify the left-hand side of the equation by canceling the common terms.
x=(0)/(5)
0 divided by any number or variable is 0.
x=0