Solve 4x + 7 = 27
The solution of 4x + 7 = 27 is x = 5.
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 7 from both sides:
- 3
Divide both sides by 4:
- 4
Check: put x = 5 back into the equation.
LaTeX source of the formulas on this page
\[ 4x + 7 = 27\ \Rightarrow\ x = 5 \]
\[ 4x + 7 = 27 \]
\[ 4x + 7 - 7 = 27 - 7 \ \Rightarrow\ 4x = 20 \]
\[ \frac{4x}{4} = \frac{20}{4} \ \Rightarrow\ x = 5 \]
\[ 4\cdot5 + 7 = 20 + 7 = 27 \checkmark \]Trying values of x in 4x + 7 = 27
| x | 4x + 7 | Equals 27? |
|---|---|---|
| 3 | 19 | no |
| 4 | 23 | no |
| 5 | 27 | yes |
| 6 | 31 | no |
| 7 | 35 | no |
Questions
What is x in 4x + 7 = 27?
The solution of 4x + 7 = 27 is x = 5.
How do you solve 4x + 7 = 27?
Subtract 7 from both sides to get 4x = 20, then divide both sides by 4 to get x = 5.
How do I check the answer?
Replace x by 5: 4(5) + 7 = 27, which is 27.