Question

Try it Solve the equation. If necessary 2-4x= -9x+ 2 3 7 + 2 5 = +- 6 Combine Terms Apply properties: Add Subtract Multiply Divide To start over: Reset

Answer 1

`(2)/(3)-4x+(7)/(2)=-9x+(5)/(6)`

We apply associative property to rearrange:

`-4x+(7)/(2)+(2)/(3)=-9x+(5)/(6)`

We solve the sum of similar terms:

`-4x+(7)/(2)+(2)/(3)=-9x+(5)/(6)`
`-4x+(25)/(6)=-9x+(5)/(6)`

We add 9x to both sides (to cancel -9x):

`-4x+9x+(25)/(6)=-9x+9x+(5)/(6)`
`5x+(25)/(6)=(5)/(6)`

We subtract 25/6 both sides (to cancel 25/6):

`5x+(25)/(6)-(25)/(6)=(5)/(6)-(25)/(6)`

`5x=(-20)/(6)`

We divide by 5 both sides (to cancel 5):

`(5x)/(5)=(-20)/(6\cdot5)`
`x=(-20)/(30)`

Finally we simplify the fraction:

`x=(-20)/(30)=(-4)/(6)=(-2)/(3)`