Question

What is the value of x in the equation 1.5(x+4) -3 = 4.5(x-2)

Answer 1

Given the following expression:

`1.5(x+4)-3=4.5(x-2)`

we can use the distributive property on the parenthesis to get the following:

`\begin{gathered} 1.5(x+4)-3=4.5(x-2) \\ \Rightarrow1.5x+1.5(4)-3=4.5x-4.5(2) \end{gathered}`

then, we can solve for 'x':

`\begin{gathered} 1.5x+1.5(4)-3=4.5x-4.5(2) \\ \Rightarrow1.5x+6-3=4.5x-9 \\ \Rightarrow9+6-3=4.5x-1.5x \\ \Rightarrow15-3=3x \\ \Rightarrow12=3x \\ \Rightarrow x=(12)/(3)=4 \\ x=4 \end{gathered}`

therefore x = 4