Solve 2x + 8 = 22
The solution of 2x + 8 = 22 is x = 7.
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 8 from both sides:
- 3
Divide both sides by 2:
- 4
Check: put x = 7 back into the equation.
LaTeX source of the formulas on this page
\[ 2x + 8 = 22\ \Rightarrow\ x = 7 \]
\[ 2x + 8 = 22 \]
\[ 2x + 8 - 8 = 22 - 8 \ \Rightarrow\ 2x = 14 \]
\[ \frac{2x}{2} = \frac{14}{2} \ \Rightarrow\ x = 7 \]
\[ 2\cdot7 + 8 = 14 + 8 = 22 \checkmark \]Trying values of x in 2x + 8 = 22
| x | 2x + 8 | Equals 22? |
|---|---|---|
| 5 | 18 | no |
| 6 | 20 | no |
| 7 | 22 | yes |
| 8 | 24 | no |
| 9 | 26 | no |
Questions
What is x in 2x + 8 = 22?
The solution of 2x + 8 = 22 is x = 7.
How do you solve 2x + 8 = 22?
Subtract 8 from both sides to get 2x = 14, then divide both sides by 2 to get x = 7.
How do I check the answer?
Replace x by 7: 2(7) + 8 = 22, which is 22.