Question

12-2x = -2(y-x) please explain how you got the answer

Answer 1

Answer:
`x=(y+6)/(2)`

Explanation:

`12-2x=-2\left(y-x\right)`

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(Expand:
`-2\left(y-x\right)`)

`=-2y-\left(-2\right)x`

`=-2y+2x`

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`12-2x=-2y+2x`

`-2x=-2y+2x-12`

`-2x-2x=-2y+2x-12-2x`

`-4x=-2y-12`

`(-4x)/(-4)=-(2y)/(-4)-(12)/(-4)`

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(Simplify:
`(-4x)/(-4)`)

`(-4x)/(-4)`

`=(4x)/(4)`

`=x`

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(Simplify:
`-(2y)/(-4)-(12)/(-4)`)

`=(-2y-12)/(-4)`

`-(-2y-12)/(4)`

`(-2y-12)/(4)`

`=-(y+6)/(2)`

`-\left(-(y+6)/(2)\right)`

`=(y+6)/(2)`

`x=(y+6)/(2)`