We can solve the equation step by step:

\[
3 - (7x + 3) = 5 - x
\]

### Step 1: Distribute the negative sign on the left side:
\[
3 - 7x - 3 = 5 - x
\]

### Step 2: Simplify the left side:
\[
-7x = 5 - x
\]

### Step 3: Move all the \(x\)-terms to one side. Add \(x\) to both sides:
\[
-7x + x = 5
\]
\[
-6x = 5
\]

### Step 4: Solve for \(x\) by dividing both sides by \(-6\):
\[
x = \frac{5}{-6}
\]
\[
x = -\frac{5}{6}
\]

The solution is:
\[
x = -\frac{5}{6}
\]

Would you like further details on this solution or have any questions?

Here are 5 related questions:
1. How would you solve a similar equation with different coefficients?
2. What happens if the terms on both sides of the equation have fractions?
3. Can this equation be solved graphically?
4. How do you solve equations where variables appear on both sides with fractions?
5. What are some common mistakes when solving linear equations?

**Tip**: Always double-check your distribution of negative signs to avoid small errors in simplification!

Learn how to solve the linear equation 3 - (7x + 3) = 5 - x using step-by-step methods. This example demonstrates key algebraic concepts such as the distributive property and solving linear equations with variables on both sides. Suitable for students in Grades 8-10.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation