Respuesta :

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.