https://file.aiquickdraw.com/mathbot/file/1725594773033gu11r1sa.jpg

The equation in the image is:

\[
\frac{7}{5} + \frac{1}{2} = \frac{3}{10}x
\]

We will solve this step-by-step.

### Step 1: Eliminate the fractions
First, find the least common denominator (LCD) of 5, 2, and 10. The LCD is 10. Multiply the entire equation by 10 to eliminate the fractions:

\[
10 \cdot \left( \frac{7}{5} + \frac{1}{2} \right) = 10 \cdot \frac{3}{10}x
\]

Simplify each term:

\[
2 \cdot 7 + 5 \cdot 1 = 3x
\]

Which gives:

\[
14 + 5 = 3x
\]

### Step 2: Simplify the equation
Add the terms on the left side:

\[
19 = 3x
\]

### Step 3: Solve for \(x\)
To solve for \(x\), divide both sides by 3:

\[
x = \frac{19}{3}
\]

Thus, the solution

Solve the provided rational equation: 7/5 + 1/2 = 3/10x

Learn how to solve the rational equation 7/5 + 1/2 = 3/10x with a step-by-step guide. This problem involves simplifying rational expressions and solving for x, suitable for students in Grades 6-8.

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