Answer :

Sure, let's solve the equation [tex]\(\frac{x}{7} = \frac{14}{5}\)[/tex] step-by-step.

1. Start with the given equation:

[tex]\[ \frac{x}{7} = \frac{14}{5} \][/tex]

2. To eliminate the fractions, we can use cross multiplication. Cross multiplying the fractions involves multiplying the numerator of one fraction by the denominator of the other fraction.

So, we get:

[tex]\[ x \times 5 = 14 \times 7 \][/tex]

3. Calculate the multiplication on the right-hand side:

[tex]\[ 14 \times 7 = 98 \][/tex]

Thus, the equation becomes:

[tex]\[ 5x = 98 \][/tex]

4. Now, solve for [tex]\(x\)[/tex] by dividing both sides of the equation by 5:

[tex]\[ x = \frac{98}{5} \][/tex]

5. Perform the division:

[tex]\[ \frac{98}{5} = 19.6 \][/tex]

So, the value of [tex]\(x\)[/tex] is [tex]\(19.6\)[/tex].