https://r2.erweima.ai/mathbot/image/1726186432014si41iwuq.jpg

The equation given in the image is:

\[
5x - 50 = 3x + 60 - 25
\]

Let's simplify and solve the equation step by step.

### Step 1: Simplify both sides of the equation.
On the right-hand side, combine the constants:
\[
60 - 25 = 35
\]

So, the equation becomes:
\[
5x - 50 = 3x + 35
\]

### Step 2: Move the terms involving \(x\) to one side.
Subtract \(3x\) from both sides:
\[
5x - 3x - 50 = 35
\]
\[
2x - 50 = 35
\]

### Step 3: Move the constant terms to the other side.
Add \(50\) to both sides:
\[
2x = 35 + 50
\]
\[
2x = 85
\]

### Step 4: Solve for \(x\).
Divide both sides by 2:
\[
x = \frac{85}{2} = 42.5
\]

Thus, the solution is:
\[
x = 42.5
\]

Would you like a more detailed explanation or have any questions about these steps? 

Here are some related questions to further explore:
1. How do you verify the solution of a linear equation?
2. What happens if you have fractions in the equation from the start?
3. Can you describe the process of isolating variables in a general equation?
4. How do you solve an equation with more than one variable?
5. What are the steps to simplify more complex algebraic expressions?

**Tip:** Always double-check your work by substituting the solution back into the original equation to ensure it satisfies both sides!

Solve the equation: 5x - 50 = 3x + 60 - 25

Learn how to solve the linear equation 5x - 50 = 3x + 60 - 25 with a step-by-step explanation. This solution covers essential algebraic techniques, including simplifying expressions and isolating the variable x. Suitable for students in Grades 7-9.

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