Question

1/2x - 7 = 1/3(× - 12)what ia the value of x?

Answer 1

`(1)/(2)x-7=(1)/(3)(x-12)`

Distributing:

`\begin{gathered} (1)/(2)x-7=(1)/(3)x-(1)/(3)\cdot12 \\ (1)/(2)x-7=(1)/(3)x-4 \end{gathered}`

1/3x is adding on the right, then it will subtract on the left.

7 is subtracting on the left, then it will add on the right

`\begin{gathered} (1)/(2)x-(1)/(3)x=-4+7 \\ (1\cdot3-1\cdot2)/(6)x=3 \\ (1)/(6)x=3 \end{gathered}`

1/6 is multiplying on the left, then it will divide on the right

`\begin{gathered} x=3\cdot6 \\ x=18 \end{gathered}`