Solve 9x + 13 = 193
The solution of 9x + 13 = 193 is x = 20.
How to work it out
- 1
The goal is to get x alone. Undo the operations in the opposite order: first the addition, then the multiplication.
- 2
Subtract 13 from both sides:
- 3
Divide both sides by 9:
- 4
Check: put x = 20 back into the equation.
LaTeX source of the formulas on this page
\[ 9x + 13 = 193\ \Rightarrow\ x = 20 \]
\[ 9x + 13 = 193 \]
\[ 9x + 13 - 13 = 193 - 13 \ \Rightarrow\ 9x = 180 \]
\[ \frac{9x}{9} = \frac{180}{9} \ \Rightarrow\ x = 20 \]
\[ 9\cdot20 + 13 = 180 + 13 = 193 \checkmark \]Trying values of x in 9x + 13 = 193
| x | 9x + 13 | Equals 193? |
|---|---|---|
| 18 | 175 | no |
| 19 | 184 | no |
| 20 | 193 | yes |
| 21 | 202 | no |
| 22 | 211 | no |
Questions
What is x in 9x + 13 = 193?
The solution of 9x + 13 = 193 is x = 20.
How do you solve 9x + 13 = 193?
Subtract 13 from both sides to get 9x = 180, then divide both sides by 9 to get x = 20.
How do I check the answer?
Replace x by 20: 9(20) + 13 = 193, which is 193.