Answer:
4x - 6 = -46
x = -10
Step-by-step explanation:
We are given the following sentence equation into a mathematical equation and then solve it to find each number:
The difference between four times a number and six is –46.
Translating it in chunks to make it easier:
1) The difference between ---> means there is a subtraction sign
2) four times a number ---> assuming x to be the number ---> 4x
3) and six ---> 6
4) is -46 ---> = -46
Combining these to get:
[tex]4x - 6 = -46[/tex]
[tex]4x = -46 + 6[/tex]
[tex]4x = -40[/tex]
[tex]x=\frac{-40}{4}[/tex]
x = -10
