Answer :

Sure! Let's solve the equation step-by-step:

We are given the equation:
[tex]\[ \frac{7}{9} = \frac{14}{x} \][/tex]

Step 1: Cross multiply to eliminate the fractions. To do this, we multiply both sides of the equation by [tex]\(9x\)[/tex]:
[tex]\[ 7x = 14 \cdot 9 \][/tex]

Step 2: Simplify the equation by performing the multiplication on the right-hand side:
[tex]\[ 7x = 126 \][/tex]

Step 3: Solve for [tex]\(x\)[/tex] by isolating [tex]\(x\)[/tex] on one side of the equation. To do this, divide both sides by 7:
[tex]\[ x = \frac{126}{7} \][/tex]

Step 4: Simplify the division:
[tex]\[ x = 18 \][/tex]

Thus, the solution to the equation [tex]\(\frac{7}{9} = \frac{14}{x}\)[/tex] is:
[tex]\[ x = 18 \][/tex]