Solve 5x + 3 = 53
The solution of 5x + 3 = 53 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 3 from both sides:
- 3
Divide both sides by 5:
- 4
Check: put x = 10 back into the equation.
LaTeX source of the formulas on this page
\[ 5x + 3 = 53\ \Rightarrow\ x = 10 \]
\[ 5x + 3 = 53 \]
\[ 5x + 3 - 3 = 53 - 3 \ \Rightarrow\ 5x = 50 \]
\[ \frac{5x}{5} = \frac{50}{5} \ \Rightarrow\ x = 10 \]
\[ 5\cdot10 + 3 = 50 + 3 = 53 \checkmark \]Trying values of x in 5x + 3 = 53
| x | 5x + 3 | Equals 53? |
|---|---|---|
| 8 | 43 | no |
| 9 | 48 | no |
| 10 | 53 | yes |
| 11 | 58 | no |
| 12 | 63 | no |
Questions
What is x in 5x + 3 = 53?
The solution of 5x + 3 = 53 is x = 10.
How do you solve 5x + 3 = 53?
Subtract 3 from both sides to get 5x = 50, then divide both sides by 5 to get x = 10.
How do I check the answer?
Replace x by 10: 5(10) + 3 = 53, which is 53.