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].
