Question
(14) Solve for \( x \). (11) \( 0.25(x+1)=-19 \)
Ask by Harris Haynes. in the United States
Jan 25,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
\( x = -77 \)
Solution
To solve the equation \( 0.25(x + 1) = -19 \) for \( x \), follow these steps:
1. **Start with the given equation:**
\[
0.25(x + 1) = -19
\]
2. **Eliminate the decimal by multiplying both sides by 4:**
\[
4 \times 0.25(x + 1) = 4 \times (-19)
\]
\[
1(x + 1) = -76
\]
Simplifying:
\[
x + 1 = -76
\]
3. **Isolate \( x \) by subtracting 1 from both sides:**
\[
x + 1 - 1 = -76 - 1
\]
\[
x = -77
\]
**Solution:**
\[
x = -77
\]
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Simplify this solution Mind Expander
First, let's start solving the equation by distributing 0.25 on the left side: \( 0.25x + 0.25 = -19 \). Now, subtract 0.25 from both sides to isolate the term with \( x \): \( 0.25x = -19 - 0.25 \) which simplifies to \( 0.25x = -19.25 \). Finally, divide both sides by 0.25 to find \( x \): \( x = \frac{-19.25}{0.25} = -77 \). Ta-da! We've got our solution: \( x = -77 \). Keep in mind to check your work by substituting \( -77 \) back into the original equation to ensure both sides are equal!
