Question

-4x+29-x=2(x-17) what would the answer be in equations and inequalities?

Answer 1

To solve the equation \(-4x + 29 - x = 2(x - 17)\), we will first simplify and isolate the variable \(x\).

1. **Combine like terms on the left side:**
\[
-4x - x + 29 = 2(x - 17)
\]
This simplifies to:
\[
-5x + 29 = 2(x - 17)
\]

2. **Distribute on the right side:**
\[
-5x + 29 = 2x - 34
\]

3. **Get all \(x\) terms on one side and constant terms on the other side. Add \(5x\) to both sides:**
\[
29 = 2x + 5x - 34
\]
Simplifying gives:
\[
29 = 7x - 34
\]

4. **Add \(34\) to both sides to isolate the term with \(x\):**
\[
29 + 34 = 7x
\]
Which simplifies to:
\[
63 = 7x
\]

5. **Divide both sides by \(7\):**
\[
x = \frac{63}{7}
\]
Simplifying gives:
\[
x = 9
\]

Thus, the solution to the equation \(-4x + 29 - x = 2(x - 17)\) is:
\[
\boxed{x = 9}
\]

Since this is an equation and not an inequality, there are no inequality solutions to provide. The answer is simply \(x = 9\).