Solve 2x + 9 = 33
The solution of 2x + 9 = 33 is x = 12.
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 = 12 back into the equation.
LaTeX source of the formulas on this page
\[ 2x + 9 = 33\ \Rightarrow\ x = 12 \]
\[ 2x + 9 = 33 \]
\[ 2x + 9 - 9 = 33 - 9 \ \Rightarrow\ 2x = 24 \]
\[ \frac{2x}{2} = \frac{24}{2} \ \Rightarrow\ x = 12 \]
\[ 2\cdot12 + 9 = 24 + 9 = 33 \checkmark \]Trying values of x in 2x + 9 = 33
| x | 2x + 9 | Equals 33? |
|---|---|---|
| 10 | 29 | no |
| 11 | 31 | no |
| 12 | 33 | yes |
| 13 | 35 | no |
| 14 | 37 | no |
Questions
What is x in 2x + 9 = 33?
The solution of 2x + 9 = 33 is x = 12.
How do you solve 2x + 9 = 33?
Subtract 9 from both sides to get 2x = 24, then divide both sides by 2 to get x = 12.
How do I check the answer?
Replace x by 12: 2(12) + 9 = 33, which is 33.