Question

2/3x + 1/6 = -3/4x + 1

Answer 1

`(2)/(3) x + (1)/(6) = -(3)/(4) x + 1`

First, simplify
`(2)/(3) x` to
`(2x)/(3)` / Your problem should look like:
`(2x)/(3) + (1)/(6) = -(3)/(4) x + 1`
Second, simplify
`(3)/(4) x` to
`(3x)/(4)` / Your problem should look like:
`(2x)/(3) + (1)/(6) = -(3x)/(4) + 1`
Third, multiply both sides by 12 (the LCM of 3 and 4) / Your problem should look like:
`8x + 2 = -9x + 12`
Fourth, subtract 2 from both sides. / Your problem should look like:
`8x = -9x + 12 - 2`
Fifth, simplify -9x + 12 - 2 to -9x + 10. / Your problem should look like:
`8x = -9x + 10`
Sixth, add 9x to both sides. / Your problem should look like:
`8x + 9x = 10`
Seventh, add 8x + 9x to get 17x. / Your problem should look like:
`17x = 10`
Eighth, divide both sides by 17. / Your problem should look like:
`x = (10)/(17)`

Answer as fraction: x =
`(10)/(17)`
Answer as decimal: x = 0.5882