https://file.aiquickdraw.com/mathbot/file/1726712656613pt4x3snu.jpg

The equation shown in the image is:

\[
-8x - 12x + 5 = 7x - 4
\]

Let me solve it step-by-step:

### Step 1: Combine like terms on the left side
On the left side, combine \(-8x\) and \(-12x\):

\[
-8x - 12x = -20x
\]

So the equation becomes:

\[
-20x + 5 = 7x - 4
\]

### Step 2: Move the variable terms to one side
Move the \(7x\) on the right to the left side by subtracting \(7x\) from both sides:

\[
-20x - 7x + 5 = -4
\]

This simplifies to:

\[
-27x + 5 = -4
\]

### Step 3: Move the constant term to the right side
Move the constant \(5\) to the right side by subtracting \(5\) from both sides:

\[
-27x = -4 - 5
\]

\[
-27x = -9
\]

### Step 4: Solve for \(x\)
Now divide both sides by \(-27\):

\[
x = \frac{-9}{-27}
\]

\[
x = \frac{1}{3}
\]

### Final Answer:
\[
x = \frac{1}{3}
\]

Would you like further details or any questions?

Here are 5 related questions:
1. How can you verify the solution \(x = \frac{1}{3}\) by plugging it back into the original equation?
2. What happens if both sides of the equation had fractions instead of integers?
3. Can you solve similar linear equations that involve parentheses or fractions?
4. How would the solution change if the signs of some terms were reversed?
5. What if the equation was quadratic instead of linear—how would the solving method change?

**Tip:** When solving equations, always simplify by combining like terms first to make the equation easier to work with.

Learn how to solve the linear equation -8x - 12x + 5 = 7x - 4 with a detailed step-by-step guide. This problem covers key algebraic concepts, such as simplifying expressions and solving for the variable x. Suitable 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