https://file.aiquickdraw.com/mathbot/file/1726529831561daim3oy3.jpg

The equation in the image asks to solve for \( x \) and is given as:

\[
-(-2x + 6) + 10 = -(-x + 6)
\]

Let's solve it step by step:

1. Expand both sides by distributing the negative signs:
\[
-( -2x + 6) = 2x - 6
\]
\[
-( -x + 6) = x - 6
\]

Now the equation becomes:
\[
(2x - 6) + 10 = (x - 6)
\]

2. Simplify the terms on the left-hand side:
\[
2x + 4 = x - 6
\]

3. Move all terms involving \( x \) to one side and constants to the other:
\[
2x - x = -6 - 4
\]

Simplifying:
\[
x = -10
\]

Thus, the solution is \( x = -10 \).

Would you like more details or have any questions? Here are 5 related questions:

1. How do you verify if \( x = -10 \) is correct?
2. What happens when you distribute a negative sign across parentheses?
3. Can you solve a similar equation but with fractions instead of integers?
4. What is the general approach to solving linear equations?
5. How can this process be extended to solve inequalities?

**Tip**: Always check your solution by plugging it back into the original equation to verify both sides are equal.

Learn how to solve the linear equation -(-2x + 6) + 10 = -(-x + 6) using algebraic methods. The solution involves the distributive property and combining like terms. This step-by-step guide is 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