Question

3(x-6)-8x=-2 + 5(2x+1)

Answer 1

`x=-\cfrac{7}{5}`

Or

`x=-1.4`

Explanation:

`3(x-6)-8x=-2 + 5(2x+1)`

`3(x-6)-8x \:\bold{Expand}`

`-2+5\left(2x+1\right)\:\bold{Expand}`

`-5x-18=10x+3`

`-5x-18+18=10x+3+18\:\bold{Add\:18\:to\:both\:sides}`

`-5x=10x+21`

`-5x-18+18=10x+3+18\:\bold{Subtract\:10x \:from\:both\:sides}`

`-15x=21`

`\cfrac{-15x}{-15}=\cfrac{21}{-15}\:\bold{Divide \: both\: sides\: by\: 15}`

`x=-\cfrac{7}{5}`

~

Answer 2

x = -1

Explanation:

3(x - 6) - 8x = -2 + 5(2x + 1)

3x - 18 - 8x = -2 + 10x + 5

-5x - 18 = 10x + 3

-15x = 15

x = -1