Question

How do you solve and check : `0.6 - 0.3(20+x) = 0.75(20)`?

Answer 1

`x = -68`

Explanation:

`0.6 - 0.3(20 + x) = 0.75(20)`

Use the Distributive Property:
`0.6 - 0.3(20 + x) = 0.75(20)`
`0.6 - 6 - 0.3x = 15`

Combine Like Terms:
`0.6 - 6 - 0.3x = 15`
`-5.4 - 0.3x = 15`

Use the Additive Inverse:
`-5.4 - 0.3x = 15`
`-0.3x = 20.4`

Use the Multiplicative Inverse:
`-0.3x = 20.4`
`x = -68`

Check:
`0.6 - 0.3(20 + x) = 0.75(20)`
`0.6 - 0.3(20 + (-68)) = 0.75(20)`
`0.6 - 0.3(-48) = 15`
`0.6 + 14.4 = 15`
`15 = 15`