Answer:
x = 24
Step-by-step explanation:
1. First, let's translate the statement into an equation.
- Twice a number means 2x
- is means equal =
- 48 less than 4 times a number means 4x - 48
- 2x = 4x - 48
2. (solving)
Step 1: Subtract 4x from both sides.
- [tex]2x - 4x = 4x - 48 - 4x[/tex]
- [tex]-2x = -48[/tex]
Step 2: Divide both sides by -2.
- [tex]\frac{-2x}{-2}=\frac{-48}{-2}[/tex]
- [tex]x = 24[/tex]
Step 3: Check if solution is correct.
- [tex]2(24) = 4(24)-48[/tex]
- [tex]48 = 96-48[/tex]
- [tex]48 = 48[/tex]
Therefore, x = 24.
