Question

1/4(x-12)+3/4=x/3 Solve for X.

Answer 1

multiply by 12 as a start to clear the fractions

Answer 2

x12 to every fraction?

Answer 3

\[\frac{1}{4}(x-2)+\frac{3}{4}=\frac{x}{3}\]
\[12\left(\frac{1}{4}(x-2)+\frac{3}{4}\right)=\frac{x}{3}\times 12\]
\[12\times \frac{1}{4}(x-2)+12\times \frac{3}{4}=4x\]
\[3(x-2)+9=4x\]and it should be good from there

Answer 4

the point is to cancel all the denominators, which is why you choose 12 as it is the least common multiple of 3 and 4

Answer 5

x/4-12/4+3/4=x/3
x-12+3/4=x/3
x-9/4=x/3
3(x-9)=4x
3x-27=4x
x=-27