Question

Solve for x.
−2/3(3x−4)+3x=5/6

By the way 2/3 and 5/6 are fractions

Answer 1

x = -11/6
First multiply (-2/3) by (3x-4).
your equation should now be -2x + (8/3) +3x = (5/6)
combine the x terms and subtract 8/3 to the other side

Answer 2

Answer: The required solution for x is
`-(11)/(6).`

Step-by-step explanation: We are given to solve the following equation for x :

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

To solve the given equation for x,

we must take all the terms involving x on the left-hand side and the other constant terms on the right-hand side of the equation.

The solution of equation (i) is as follows :

`-(2)/(3)(3x-4)+3x=(5)/(6)\\\\\\\Rightarrow -2x+(8)/(3)+3x=(5)/(6)\\\\\\\Rightarrow x=(5)/(6)-(8)/(3)\\\\\\\Rightarrow x=(5-16)/(6)\\\\\\\Rightarrow x=-(11)/(6).`

Thus, the required solution for x is
`-(11)/(6).`