Question

What is -2/3(3x-4) +3x= 5/6

Answer 1

x= -11/16

Explanation:

Solve for x by simplifying both sides of the equation, then isolating the variable.

Answer 2

`\boxed {x = (7)/(10)}`

Explanation:

Solve for the value of
`x`:

`(2)/(3)(3x - 4) + 3x = (5)/(6)`

-Use Distributive Property:

`(2)/(3)(3x - 4) + 3x = (5)/(6)`

`2x - (8)/(3) + 3x = (5)/(6)`

-Combine like terms:

`2x - (8)/(3) + 3x = (5)/(6)`

`5x - (8)/(3) = (5)/(6)`

-Add
`(8)/(3)` on both sides and the least common multiple of both
`6` and
`3` is
`6`. So, convert both fractions
`(5)/(6)` and
`(8)/(3)` with the denominator
`6`:

`5x - (8)/(3) + (8)/(3) = (5)/(6) + (8)/(3)`

`5x = (5)/(6) + (16)/(6)`

-Since both fractions have the same denominators, you add them adding the numerators together:

`5x = (5 + 16)/(6)`

`5x = (21)/(6)`

-Reduce the fraction to the lowest term by extracting and canceling out the
`3`:

`5x = (21)/(6)`

`5x = (7)/(2)`

-Divide
`5` on both sides of the equation. But instead of dividing it, you multiply the denominator
`2` by
`5`:

`(5x)/(5) = ((7)/(2) )/(5)`

`x = (7)/(2 * 5)`

`\boxed {x = (7)/(10)}`

So, therefore, the value of
`x` is
`(7)/(10)`.