Question

b. \\(1.25x - 4 = -2.75x + 8.75\\)

Explanation:

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<reasoning>

Add 2.75x to both sides

\[

$$\begin{aligned} 1.25x - 4 + 2.75x &= -2.75x + 8.75 + 2.75x \\ 4x - 4 &= 8.75 \end{aligned}$$

\]

Add 4 to both sides

\[

$$\begin{aligned} 4x - 4 + 4 &= 8.75 + 4 \\ 4x &= 12.75 \end{aligned}$$

\]

Divide both sides by 4

\[

$$\begin{aligned} x &= \frac{12.75}{4} \\ x &= 3.1875 \end{aligned}$$

\]
</reasoning>

<answer>
\(x = 3.1875\)
</answer>

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Answer:

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<reasoning>

Add 2.75x to both sides

\[

$$\begin{aligned} 1.25x - 4 + 2.75x &= -2.75x + 8.75 + 2.75x \\ 4x - 4 &= 8.75 \end{aligned}$$

\]

Add 4 to both sides

\[

$$\begin{aligned} 4x - 4 + 4 &= 8.75 + 4 \\ 4x &= 12.75 \end{aligned}$$

\]

Divide both sides by 4

\[

$$\begin{aligned} x &= \frac{12.75}{4} \\ x &= 3.1875 \end{aligned}$$

\]
</reasoning>

<answer>
\(x = 3.1875\)
</answer>

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