Certainly! Let's solve the equation step-by-step:
We are given the equation
[tex]\[
\frac{1.5 x}{7} = \frac{6.3}{5}.
\][/tex]
First, let's simplify the right-hand side of the equation:
[tex]\[
\frac{6.3}{5} = 1.26.
\][/tex]
Now, we rewrite the equation with the simplified right-hand side:
[tex]\[
\frac{1.5 x}{7} = 1.26.
\][/tex]
Next, we want to isolate \( x \). To do this, we first eliminate the denominator on the left-hand side by multiplying both sides of the equation by 7:
[tex]\[
1.5 x = 1.26 \times 7.
\][/tex]
Now, calculate the right side:
[tex]\[
1.26 \times 7 = 8.82.
\][/tex]
So, we have:
[tex]\[
1.5 x = 8.82.
\][/tex]
To solve for \( x \), we need to divide both sides of the equation by 1.5:
[tex]\[
x = \frac{8.82}{1.5}.
\][/tex]
Finally, performing the division gives us:
[tex]\[
x = 5.88.
\][/tex]
Therefore, the solution to the equation \(\frac{1.5 x}{7} = \frac{6.3}{5}\) is:
[tex]\[
x = 5.88.
\][/tex]
