Given $$ h(x)=-4 x-5 $$, solve for $$ x $$ when $$ h(x)=7 $$

Question

UpStudy AI · Accepted Answer

To solve for $$ x $$ in the equation $$ h(x) = 7 $$ given $$ h(x) = -4x - 5 $$, follow these steps:

1. **Set up the equation:**
   $$
   h(x) = -4x - 5 = 7
   $$

2. **Add 5 to both sides to isolate the term with $$ x $$:**
   $$
   -4x - 5 + 5 = 7 + 5
   $$
   $$
   -4x = 12
   $$

3. **Divide both sides by -4 to solve for $$ x $$:**
   $$
   \frac{-4x}{-4} = \frac{12}{-4}
   $$
   $$
   x = -3
   $$

**Solution:** $$ x = -3 $$
$$ x = -3 $$

Given \( h(x)=-4 x-5 \), solve for \( x \) when \( h(x)=7 \)