Solve 2x + 8 = 46
The solution of 2x + 8 = 46 is x = 19.
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 8 from both sides:
- 3
Divide both sides by 2:
- 4
Check: put x = 19 back into the equation.
LaTeX source of the formulas on this page
\[ 2x + 8 = 46\ \Rightarrow\ x = 19 \]
\[ 2x + 8 = 46 \]
\[ 2x + 8 - 8 = 46 - 8 \ \Rightarrow\ 2x = 38 \]
\[ \frac{2x}{2} = \frac{38}{2} \ \Rightarrow\ x = 19 \]
\[ 2\cdot19 + 8 = 38 + 8 = 46 \checkmark \]Trying values of x in 2x + 8 = 46
| x | 2x + 8 | Equals 46? |
|---|---|---|
| 17 | 42 | no |
| 18 | 44 | no |
| 19 | 46 | yes |
| 20 | 48 | no |
| 21 | 50 | no |
Questions
What is x in 2x + 8 = 46?
The solution of 2x + 8 = 46 is x = 19.
How do you solve 2x + 8 = 46?
Subtract 8 from both sides to get 2x = 38, then divide both sides by 2 to get x = 19.
How do I check the answer?
Replace x by 19: 2(19) + 8 = 46, which is 46.