Solve 11x + 10 = 175
The solution of 11x + 10 = 175 is x = 15.
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 10 from both sides:
- 3
Divide both sides by 11:
- 4
Check: put x = 15 back into the equation.
LaTeX source of the formulas on this page
\[ 11x + 10 = 175\ \Rightarrow\ x = 15 \]
\[ 11x + 10 = 175 \]
\[ 11x + 10 - 10 = 175 - 10 \ \Rightarrow\ 11x = 165 \]
\[ \frac{11x}{11} = \frac{165}{11} \ \Rightarrow\ x = 15 \]
\[ 11\cdot15 + 10 = 165 + 10 = 175 \checkmark \]Trying values of x in 11x + 10 = 175
| x | 11x + 10 | Equals 175? |
|---|---|---|
| 13 | 153 | no |
| 14 | 164 | no |
| 15 | 175 | yes |
| 16 | 186 | no |
| 17 | 197 | no |
Questions
What is x in 11x + 10 = 175?
The solution of 11x + 10 = 175 is x = 15.
How do you solve 11x + 10 = 175?
Subtract 10 from both sides to get 11x = 165, then divide both sides by 11 to get x = 15.
How do I check the answer?
Replace x by 15: 11(15) + 10 = 175, which is 175.