Answer:
[tex]x=\frac{132}{25}[/tex]
Step-by-step explanation:
We have to solve for the value of "x". The equation is:
[tex]\frac{1}{3}(12+x)=8(6-x)[/tex]
We can use the distributive property shown below to simplify the expression and find the value of x.
Distributive property: [tex]a(b+c)=ab+ac[/tex]
Now, we solve:
[tex]\frac{1}{3}(12+x)=8(6-x)\\4+\frac{1}{3}x=48-8x\\\frac{1}{3}x+8x=48-4\\8\frac{1}{3}x=44\\\frac{25}{3}x=44\\x=\frac{44}{\frac{25}{3}}\\x=44*\frac{3}{25}\\x=\frac{132}{25}[/tex]
This is the improper fractional value of "x". So,
[tex]x=\frac{132}{25}[/tex]
