Question

What is the solution to the linear equation? 2/3x – 1/2 = 1/3 + 5/6 x

Answer 1

Answer:
`x=-5`

Explanation:

You need to find the value of the variable "x".

Solve for "x":

Subtract
`(5)/(6)x` from both sides of the equation:

`(2)/(3)x-(1)/(2)-(5)/(6)x}=(1)/(3)+(5)/(6)x\\\\-(1)/(6)x-(1)/(2) =(1)/(3)`

Add
`(1)/(2)` to both sides of the equation:

`-(1)/(6)x-(1)/(2)+(1)/(2) =(1)/(3)+(1)/(2)\\\\-(1)/(6)x=(5)/(6)`

Multiply both sides of the equation by -6:

`(-(1)/(6)x)(-6)=((5)/(6))(-6)\\\\x=-5`