Question
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b) \( x+7=-2 \) (c) \( 5 x=-2 x+14 \) (d) \( 4 x-5=-12 \)

Ask by Coleman Chavez. in Indonesia
Jan 23,2025

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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 \( x = -\frac{7}{4} \).

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