Answer:
The value of x is -108.33.
Step-by-step explanation:
Given : Expression [tex]4.5(8-x)-33=98-2.5(3x+24)[/tex]
To find : Solve for x?
Solution :
Step 1 - Write the expression,
[tex]4.5(8-x)-33=98-2.5(3x+24)[/tex]
Step 2 - Apply distributive property, [tex]a(b+c)=ab+ac[/tex]
[tex]4.5\times 88-4.5x-33=98-2.5\times 3x-2.5\times 24[/tex]
Step 3 - Solve,
[tex]396-4.5x-33=98-7.5x-60[/tex]
[tex]363-4.5x=38-7.5x[/tex]
[tex]-4.5x+7.5x=38-363[/tex]
[tex]3x=-325[/tex]
[tex]x=-\frac{325}{3}[/tex]
[tex]x=-108.33[/tex]
Therefore, The value of x is -108.33.