Question
b) \( x+7=-2 \) (c) \( 5 x=-2 x+14 \) (d) \( 4 x-5=-12 \)
Ask by Coleman Chavez. in Indonesia
Jan 23,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
**b) \( x = -9 \)**
**c) \( x = 2 \)**
**d) \( x = -1.75 \)**
Solution
**b) \( x + 7 = -2 \)**
Untuk mencari nilai \( x \):
\[
\begin{align*}
x + 7 &= -2 \\
x &= -2 - 7 \\
x &= -9
\end{align*}
\]
**c) \( 5x = -2x + 14 \)**
Untuk mencari nilai \( x \):
\[
\begin{align*}
5x &= -2x + 14 \\
5x + 2x &= 14 \\
7x &= 14 \\
x &= \frac{14}{7} \\
x &= 2
\end{align*}
\]
**d) \( 4x - 5 = -12 \)**
Untuk mencari nilai \( x \):
\[
\begin{align*}
4x - 5 &= -12 \\
4x &= -12 + 5 \\
4x &= -7 \\
x &= \frac{-7}{4} \\
x &= -1,75
\end{align*}
\]
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The Deep Dive
To solve the first equation \( x + 7 = -2 \), you need to isolate \( x \). Subtract 7 from both sides to get \( x = -2 - 7 = -9 \). Now you’ve found that \( x = -9 \)! For the second equation \( 5x = -2x + 14 \), start by getting all \( x \) terms on one side. Add \( 2x \) to both sides which gives you \( 5x + 2x = 14 \), simplifying to \( 7x = 14 \). Divide by 7 to find \( x = 2 \). Lastly, for \( 4x - 5 = -12 \), add 5 to both sides to yield \( 4x = -12 + 5 \), which simplifies to \( 4x = -7 \). Finally, divide by 4 to find \( x = -\frac{7}{4} \).