Question
Real Tutor Solution
Tutor-Verified Answer
Answer
\( x = -2 \)
Solution
Untuk menyelesaikan persamaan \(5x + 15 = -2x + 1\), ikuti langkah-langkah berikut:
1. **Pindahkan semua istilah yang mengandung \(x\) ke satu sisi dan konstanta ke sisi lainnya:**
Tambahkan \(2x\) ke kedua sisi persamaan untuk menghilangkan \(-2x\) dari sisi kanan:
\[
5x + 2x + 15 = -2x + 2x + 1 \\
7x + 15 = 1
\]
2. **Hilangkan konstanta dari sisi kiri:**
Kurangkan \(15\) dari kedua sisi persamaan:
\[
7x + 15 - 15 = 1 - 15 \\
7x = -14
\]
3. **Selesaikan untuk \(x\):**
Bagi kedua sisi persamaan dengan \(7\) untuk menemukan nilai \(x\):
\[
\frac{7x}{7} = \frac{-14}{7} \\
x = -2
\]
**Jadi, solusi dari persamaan tersebut adalah \(x = -2\).**
Reviewed and approved by the UpStudy tutoring team
Like
error msg
Explain 
Simplify this solution Beyond the Answer
To solve the equation \( 5x + 15 = -2x + 1 \), start by getting all the \( x \) terms on one side. Add \( 2x \) to both sides to combine like terms: \( 5x + 2x + 15 = 1 \), simplifying to \( 7x + 15 = 1 \). Now, subtract \( 15 \) from both sides to isolate the \( x \): \( 7x = 1 - 15 \), which becomes \( 7x = -14 \). Finally, divide both sides by \( 7 \) to find \( x = -2 \)! If you encounter a mix-up, don't worry! A common mistake is misplacing a sign when moving terms. Always double-check each step: keep an eye on positive and negative signs, especially when combining or subtracting. Taking your time ensures you avoid those slip-ups!
