Solve 2x + 9 = 17
The solution of 2x + 9 = 17 is x = 4.
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 9 from both sides:
- 3
Divide both sides by 2:
- 4
Check: put x = 4 back into the equation.
LaTeX source of the formulas on this page
\[ 2x + 9 = 17\ \Rightarrow\ x = 4 \]
\[ 2x + 9 = 17 \]
\[ 2x + 9 - 9 = 17 - 9 \ \Rightarrow\ 2x = 8 \]
\[ \frac{2x}{2} = \frac{8}{2} \ \Rightarrow\ x = 4 \]
\[ 2\cdot4 + 9 = 8 + 9 = 17 \checkmark \]Trying values of x in 2x + 9 = 17
| x | 2x + 9 | Equals 17? |
|---|---|---|
| 2 | 13 | no |
| 3 | 15 | no |
| 4 | 17 | yes |
| 5 | 19 | no |
| 6 | 21 | no |
Questions
What is x in 2x + 9 = 17?
The solution of 2x + 9 = 17 is x = 4.
How do you solve 2x + 9 = 17?
Subtract 9 from both sides to get 2x = 8, then divide both sides by 2 to get x = 4.
How do I check the answer?
Replace x by 4: 2(4) + 9 = 17, which is 17.