−3(*x*+2)−3*x*−5=

37−3(*x*+2)−3*x*−5=37

Let's solve the equation step by step:

You have:

\[
-3(x + 2) - 3x - 5 = 37
\]

### Step 1: Distribute \(-3\) to both terms inside the parentheses:
\[
-3 \cdot x = -3x
\]
\[
-3 \cdot 2 = -6
\]

So the equation becomes:
\[
-3x - 6 - 3x - 5 = 37
\]

### Step 2: Combine like terms:
\[
-3x - 3x = -6x
\]
\[
-6 - 5 = -11
\]

Now the equation is:
\[
-6x - 11 = 37
\]

### Step 3: Isolate the variable \(x\):
First, add 11 to both sides:
\[
-6x = 37 + 11
\]
\[
-6x = 48
\]

### Step 4: Solve for \(x\) by dividing both sides by \(-6\):
\[
x = \frac{48}{-6}
\]
\[
x = -8
\]

Thus, the solution is \(x = -8\).

---

Would you like more details or have any questions?

Here are 5 follow-up questions related to this solution:
1. What happens if we change the constant 37 on the right side?
2. Can we factor out \(-3\) directly from the entire left-hand side?
3. What is the geometric meaning of solving linear equations like this one?
4. How does the solution change if the distribution of \(-3\) wasn't applied correctly?
5. What steps would you follow to verify the solution?

**Tip:** When solving equations, always combine like terms and simplify expressions before moving terms across the equal sign!

Learn how to solve the linear equation −3(x + 2) − 3x − 5 = 37 with a detailed step-by-step explanation. This problem involves the distributive property and simplifying linear equations. Perfect for students in Grades 7-9.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation