To solve the equation \(-3(x + 4) + 7(2x - 1) = 5\), follow these steps:

1. **Distribute** the \(-3\) and \(7\) across the terms inside the parentheses:
   \[
   -3(x + 4) = -3x - 12
   \]
   \[
   7(2x - 1) = 14x - 7
   \]
   So, the equation becomes:
   \[
   -3x - 12 + 14x - 7 = 5
   \]

2. **Combine like terms** on the left side:
   \[
   (-3x + 14x) + (-12 - 7) = 5
   \]
   \[
   11x - 19 = 5
   \]

3. **Isolate** the variable term \(11x\) by adding \(19\) to both sides:
   \[
   11x - 19 + 19 = 5 + 19
   \]
   \[
   11x = 24
   \]

4. **Solve for \(x\)** by dividing both sides by \(11\):
   \[
   x = \frac{24}{11}
   \]

So, the solution is \(x = \frac{24}{11}\).

Would you like more details or have any questions?

Here are some related questions to consider:

1. How would the solution change if the constant on the right side was different?
2. What if the equation had additional terms or different coefficients?
3. Can you solve for \(x\) if the equation was quadratic?
4. How would you solve an equation where the variable appears in the denominator?
5. What are the steps for solving an equation involving absolute values?

**Tip:** Always double-check your distribution and combining like terms to avoid mistakes.

Learn how to solve the equation -3(x+4)+7(2x-1)=5 with detailed step-by-step instructions. This problem covers equations, distributive property, and combining like terms. Suitable for students in Grades 9-12.

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