Solve 2x + 9 = 3
The solution of 2x + 9 = 3 is x = -3.
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 = -3 back into the equation.
LaTeX source of the formulas on this page
\[ 2x + 9 = 3\ \Rightarrow\ x = -3 \]
\[ 2x + 9 = 3 \]
\[ 2x + 9 - 9 = 3 - 9 \ \Rightarrow\ 2x = -6 \]
\[ \frac{2x}{2} = \frac{-6}{2} \ \Rightarrow\ x = -3 \]
\[ 2\cdot(-3) + 9 = -6 + 9 = 3 \checkmark \]Trying values of x in 2x + 9 = 3
| x | 2x + 9 | Equals 3? |
|---|---|---|
| -5 | -1 | no |
| -4 | 1 | no |
| -3 | 3 | yes |
| -2 | 5 | no |
| -1 | 7 | no |
Questions
What is x in 2x + 9 = 3?
The solution of 2x + 9 = 3 is x = -3.
How do you solve 2x + 9 = 3?
Subtract 9 from both sides to get 2x = -6, then divide both sides by 2 to get x = -3.
How do I check the answer?
Replace x by -3: 2(-3) + 9 = 3, which is 3.