Question

Solve for x.

−2/3 (3x − 4) + 3x = 5/6


​​A. x = −19/6 ​

B. x = −11/6 ​ ​

C. x = 21/6 ​

D. x = 29/6

need help asap!

Answer 1

x= -11/6

Explanation:

I took the test!

Answer 2

`-(2)/(3)(3x-4)+3x=(5)/(6)\ \ \ \ |\text{use distributive property}\\\\-(2)/(\\ot3_1)\cdot\\ot3^1x+(8)/(3)+3x=(5)/(6)\\\\-2x+3x+(8)/(3)=(5)/(6)\ \ \ \ |-(8)/(3)\\\\x=(5)/(6)-(8)/(3)\\\\x=(5)/(6)-(8\cdot2)/(3\cdot2)\\\\x=(5)/(6)-(16)/(6)\\\\\boxed{x=-(11)/(6)}`

Other method:

`-(2)/(3)(3x-4)+3x=(5)/(6)\ \ \ \ |\cdot6\\\\2(-2)(3x-4)+18x=5\\\\-4(3x-4)+18x=5\ \ \ \ |\text{use distributive property}\\\\-12x+16+18x=5\ \ \ \ |-16\\\\6x=-11\ \ \ \ |:6\\\\\boxed{x=-(11)/(6)}`