For this case we have to represent the following expression algebraically:
"10 less than x is -45"
So:
10 less than x is represented as: [tex]x-10[/tex]
Then, the complete expression is represented as:
[tex]x-10 = -45[/tex]
Adding 10 to both sides of the equation:
[tex]x = -45 + 10\\x = -35[/tex]
Thus, the value of the variable is [tex]x = -35[/tex]
Answer:
[tex]x = -35[/tex]