Use algebra to solve for $$ x $$ in the equation $$ 5 x+7=9 x-6 $$. If your answer is a fraction, write it in reduced, fractional form. Do NOT convert the answer to a decimal. $$ x=\square $$

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UpStudy AI · Accepted Answer

To solve the equation $$5x + 7 = 9x - 6$$ for $$x$$, follow these algebraic steps:

1. **Start with the original equation:**
   $$
   5x + 7 = 9x - 6
   $$

2. **Subtract $$5x$$ from both sides to get all $$x$$-terms on one side:**
   $$
   5x + 7 - 5x = 9x - 6 - 5x
   $$
   Simplifying:
   $$
   7 = 4x - 6
   $$

3. **Add $$6$$ to both sides to isolate the $$x$$-term:**
   $$
   7 + 6 = 4x - 6 + 6
   $$
   Simplifying:
   $$
   13 = 4x
   $$

4. **Divide both sides by $$4$$ to solve for $$x$$:**
   $$
   \frac{13}{4} = x
   $$
   Or written as:
   $$
   x = \frac{13}{4}
   $$

**Final Answer:**
$$
x = \frac{13}{4}
$$
$$ x = \frac{13}{4} $$

Use algebra to solve for in the equation .
If your answer is a fraction, write it in reduced, fractional form. Do NOT convert the answer to a decimal.

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Use algebra to solve for in the equation . If your answer is a fraction, write it in reduced, fractional form. Do NOT convert the answer to a decimal.