Solve for x.
minus, 5, left parenthesis, x, minus, 5, right parenthesis, plus, 4, x, minus, 5, equals, 21
−5(x−5)+4x−5=
21

We are given the equation:

\[
-5(x - 5) + 4x - 5 = 21
\]

Let's solve this step by step.

### Step 1: Distribute the \(-5\) across the parentheses
\[
-5(x - 5) = -5x + 25
\]
Now substitute this back into the equation:

\[
-5x + 25 + 4x - 5 = 21
\]

### Step 2: Combine like terms
Combine the \(x\)-terms and constant terms:

\[
-5x + 4x = -x
\]
\[
25 - 5 = 20
\]

So the equation becomes:

\[
-x + 20 = 21
\]

### Step 3: Solve for \(x\)
Subtract 20 from both sides:

\[
-x = 21 - 20
\]
\[
-x = 1
\]

Now multiply both sides by \(-1\) to get:

\[
x = -1
\]

### Final Answer:
\[
x = -1
\]

Would you like further details or have any questions?

Here are 5 related questions:
1. How do you distribute numbers in parentheses across terms?
2. What happens if both sides of an equation contain variables?
3. Can you apply these steps to quadratic equations?
4. How does solving for \(x\) change when there are fractions?
5. How do you check the solution of an equation?

**Tip:** Always check your solution by substituting it back into the original equation to verify.

Learn how to solve the linear equation −5(x−5)+4x−5=21 with a detailed step-by-step solution. This problem involves applying the distributive property and combining like terms. Suitable for students in Grades 6-8.

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