To find the value of [tex]\( x \)[/tex] in the equation [tex]\(\frac{3}{5} x = -45\)[/tex], follow these steps:
1. Remove the fraction by multiplying both sides of the equation by the denominator:
[tex]\[
\frac{3}{5} x \times 5 = -45 \times 5
\][/tex]
Simplifying both sides gives:
[tex]\[
3x = -225
\][/tex]
2. Solve for [tex]\( x \)[/tex] by isolating [tex]\( x \)[/tex]. To do this, divide both sides of the equation by the coefficient of [tex]\( x \)[/tex], which is 3:
[tex]\[
x = \frac{-225}{3}
\][/tex]
Simplifying the right side of the equation:
[tex]\[
x = -75
\][/tex]
Hence, the value of [tex]\( x \)[/tex] is [tex]\(-75\)[/tex]. Therefore, the correct answer is:
[tex]\[
\boxed{-75}
\][/tex]
