Answer:
[tex]x=7[/tex]
Step-by-step explanation:
Hi there!
[tex]-2^2(-5x+10)=100[/tex]
Solve -2^2:
[tex]-4(-5x+10)=100[/tex]
Divide both sides by -4:
[tex]\displaystyle \frac{ -4(-5x+10)}{-4}=\frac{100}{-4} \\\\-5x+10=-25[/tex]
Subtract 10 from both sides:
[tex]-5x+10-10=-25-10\\-5x=-35[/tex]
Divide both sides by -5:
[tex]\displaystyle \frac{-5x}{-5} = \frac{-35}{-5} \\\\x=7[/tex]
Therefore, x = 7.
I hope this helps!