To solve the equation:

\[
-(7x - 8) = 2 - 5x
\]

### Step 1: Eliminate the negative sign by distributing it on the left side.
\[
-7x + 8 = 2 - 5x
\]

### Step 2: Move all terms involving \( x \) to one side and constants to the other. First, add \( 7x \) to both sides:
\[
8 = 2 + 2x
\]

### Step 3: Subtract \( 2 \) from both sides:
\[
6 = 2x
\]

### Step 4: Solve for \( x \) by dividing both sides by 2:
\[
x = 3
\]

The solution is \( x = 3 \).

Would you like further details or have any questions?

Here are 5 related questions:
1. How would you solve \( -(5x + 4) = 3 - 4x \)?
2. Can you verify the solution by substituting \( x = 3 \) back into the original equation?
3. How do you handle distributing a negative sign in more complex equations?
4. What happens if we add \( 5x \) to both sides first instead of adding \( 7x \)?
5. Can you solve \( 3(2x - 5) = 4x + 6 \)?

**Tip:** Always check your solution by substituting it back into the original equation to ensure it's correct!

Learn how to solve the linear equation -(7x - 8) = 2 - 5x with a step-by-step solution. This problem covers essential algebraic concepts such as distributing negative signs and isolating variables. Suitable for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation