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

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