Solve 2x + 1 = 27
The solution of 2x + 1 = 27 is x = 13.
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 1 from both sides:
- 3
Divide both sides by 2:
- 4
Check: put x = 13 back into the equation.
LaTeX source of the formulas on this page
\[ 2x + 1 = 27\ \Rightarrow\ x = 13 \]
\[ 2x + 1 = 27 \]
\[ 2x + 1 - 1 = 27 - 1 \ \Rightarrow\ 2x = 26 \]
\[ \frac{2x}{2} = \frac{26}{2} \ \Rightarrow\ x = 13 \]
\[ 2\cdot13 + 1 = 26 + 1 = 27 \checkmark \]Trying values of x in 2x + 1 = 27
| x | 2x + 1 | Equals 27? |
|---|---|---|
| 11 | 23 | no |
| 12 | 25 | no |
| 13 | 27 | yes |
| 14 | 29 | no |
| 15 | 31 | no |
Questions
What is x in 2x + 1 = 27?
The solution of 2x + 1 = 27 is x = 13.
How do you solve 2x + 1 = 27?
Subtract 1 from both sides to get 2x = 26, then divide both sides by 2 to get x = 13.
How do I check the answer?
Replace x by 13: 2(13) + 1 = 27, which is 27.