Solve the equation (x)/(3) -(3-2x)/(6)=(5)/(2) x

Question

Solve the equation
`(x)/(3) -(3-2x)/(6)=(5)/(2) x`

Answer 1

Answer: x=-3/11

Explanation:

Answer 2

x = -
`(3)/(11)`

Explanation:

Given

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

Multiply through by 6 to clear the fractions

2x - (3 - 2x) = 15x ← distribute and simplify left side

2x - 3 + 2x = 15x

4x - 3 = 15x ( subtract 4x from both sides )

- 3 = 11x ( divide both sides by 11 )

-
`(3)/(11)` = x