Question

1 over 3(12 plus x) equal 8(6-x)

Answer 1

Answer:

$x=\frac{132}{25}$

Step-by-step explanation:

We have to solve for the value of "x". The equation is:

$\frac{1}{3}(12+x)=8(6-x)$

We can use the distributive property shown below to simplify the expression and find the value of x.

Distributive property:  $a(b+c)=ab+ac$

Now, we solve:

$\frac{1}{3}(12+x)=8(6-x)\\4+\frac{1}{3}x=48-8x\\\frac{1}{3}x+8x=48-4\\8\frac{1}{3}x=44\\\frac{25}{3}x=44\\x=\frac{44}{\frac{25}{3}}\\x=44*\frac{3}{25}\\x=\frac{132}{25}$

This is the improper fractional value of "x". So,

$x=\frac{132}{25}$