Solve 10x + 6 = 106
The solution of 10x + 6 = 106 is x = 10.
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 6 from both sides:
- 3
Divide both sides by 10:
- 4
Check: put x = 10 back into the equation.
LaTeX source of the formulas on this page
\[ 10x + 6 = 106\ \Rightarrow\ x = 10 \]
\[ 10x + 6 = 106 \]
\[ 10x + 6 - 6 = 106 - 6 \ \Rightarrow\ 10x = 100 \]
\[ \frac{10x}{10} = \frac{100}{10} \ \Rightarrow\ x = 10 \]
\[ 10\cdot10 + 6 = 100 + 6 = 106 \checkmark \]Trying values of x in 10x + 6 = 106
| x | 10x + 6 | Equals 106? |
|---|---|---|
| 8 | 86 | no |
| 9 | 96 | no |
| 10 | 106 | yes |
| 11 | 116 | no |
| 12 | 126 | no |
Questions
What is x in 10x + 6 = 106?
The solution of 10x + 6 = 106 is x = 10.
How do you solve 10x + 6 = 106?
Subtract 6 from both sides to get 10x = 100, then divide both sides by 10 to get x = 10.
How do I check the answer?
Replace x by 10: 10(10) + 6 = 106, which is 106.