Solve 4x + 6 = 86
The solution of 4x + 6 = 86 is x = 20.
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 4:
- 4
Check: put x = 20 back into the equation.
LaTeX source of the formulas on this page
\[ 4x + 6 = 86\ \Rightarrow\ x = 20 \]
\[ 4x + 6 = 86 \]
\[ 4x + 6 - 6 = 86 - 6 \ \Rightarrow\ 4x = 80 \]
\[ \frac{4x}{4} = \frac{80}{4} \ \Rightarrow\ x = 20 \]
\[ 4\cdot20 + 6 = 80 + 6 = 86 \checkmark \]Trying values of x in 4x + 6 = 86
| x | 4x + 6 | Equals 86? |
|---|---|---|
| 18 | 78 | no |
| 19 | 82 | no |
| 20 | 86 | yes |
| 21 | 90 | no |
| 22 | 94 | no |
Questions
What is x in 4x + 6 = 86?
The solution of 4x + 6 = 86 is x = 20.
How do you solve 4x + 6 = 86?
Subtract 6 from both sides to get 4x = 80, then divide both sides by 4 to get x = 20.
How do I check the answer?
Replace x by 20: 4(20) + 6 = 86, which is 86.