Solve 3x + 14 = 59
The solution of 3x + 14 = 59 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 14 from both sides:
- 3
Divide both sides by 3:
- 4
Check: put x = 15 back into the equation.
LaTeX source of the formulas on this page
\[ 3x + 14 = 59\ \Rightarrow\ x = 15 \]
\[ 3x + 14 = 59 \]
\[ 3x + 14 - 14 = 59 - 14 \ \Rightarrow\ 3x = 45 \]
\[ \frac{3x}{3} = \frac{45}{3} \ \Rightarrow\ x = 15 \]
\[ 3\cdot15 + 14 = 45 + 14 = 59 \checkmark \]Trying values of x in 3x + 14 = 59
| x | 3x + 14 | Equals 59? |
|---|---|---|
| 13 | 53 | no |
| 14 | 56 | no |
| 15 | 59 | yes |
| 16 | 62 | no |
| 17 | 65 | no |
Questions
What is x in 3x + 14 = 59?
The solution of 3x + 14 = 59 is x = 15.
How do you solve 3x + 14 = 59?
Subtract 14 from both sides to get 3x = 45, then divide both sides by 3 to get x = 15.
How do I check the answer?
Replace x by 15: 3(15) + 14 = 59, which is 59.