Solve for x in the following equations :
`(x)/(6)=(5)/(3)`

Answer

To solve for \( x \) in the equation

\[ \frac{x}{6} = \frac{5}{3} \]

we will follow these steps:

### Step 1: Multiply both sides by 6
To eliminate the fraction on the left side, we multiply both sides of the equation by 6:

\[ 6 \cdot \frac{x}{6} = 6 \cdot \frac{5}{3} \]

### Step 2: Simplify the left side
On the left side, the 6 in the numerator and the 6 in the denominator cancel out:

\[ x = 6 \cdot \frac{5}{3} \]

### Step 3: Simplify the right side
Now, we simplify the right side. We can multiply 6 by \( \frac{5}{3} \):

\[ x = \frac{6 \cdot 5}{3} \]

### Step 4: Perform the multiplication
Now, calculate \( 6 \cdot 5 \):

\[ x = \frac{30}{3} \]

### Step 5: Divide
Now, divide 30 by 3:

\[ x = 10 \]

Thus, the solution for \( x \) is

\[ \boxed{10} \]

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