We are given the following equation
[tex]-\frac{3}{2}=\frac{x}{10}[/tex]Let us solve the equation for x
Firstly, apply the cross multiplication
[tex]\begin{gathered} -\frac{3}{2}=\frac{x}{10} \\ -3\cdot10=2\cdot x \\ -30=2x \end{gathered}[/tex]Now, divide both sides of the equation by 2 (so that the 2 on the right side gets canceled)
[tex]\begin{gathered} -30=2x \\ \frac{-30}{2}=\frac{2x}{2} \\ -\frac{30}{2}=x \\ -15=x \\ x=-15 \end{gathered}[/tex]Therefore, the value of x is -15
