Solve 7x + 9 = 86
The solution of 7x + 9 = 86 is x = 11.
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 7:
- 4
Check: put x = 11 back into the equation.
LaTeX source of the formulas on this page
\[ 7x + 9 = 86\ \Rightarrow\ x = 11 \]
\[ 7x + 9 = 86 \]
\[ 7x + 9 - 9 = 86 - 9 \ \Rightarrow\ 7x = 77 \]
\[ \frac{7x}{7} = \frac{77}{7} \ \Rightarrow\ x = 11 \]
\[ 7\cdot11 + 9 = 77 + 9 = 86 \checkmark \]Trying values of x in 7x + 9 = 86
| x | 7x + 9 | Equals 86? |
|---|---|---|
| 9 | 72 | no |
| 10 | 79 | no |
| 11 | 86 | yes |
| 12 | 93 | no |
| 13 | 100 | no |
Questions
What is x in 7x + 9 = 86?
The solution of 7x + 9 = 86 is x = 11.
How do you solve 7x + 9 = 86?
Subtract 9 from both sides to get 7x = 77, then divide both sides by 7 to get x = 11.
How do I check the answer?
Replace x by 11: 7(11) + 9 = 86, which is 86.