Question

Solve the following equation for x: 6(4x + 5) = 3(x + 8) + 3. Round to the nearest hundredth.

Answer 1

`\boxed {x = -(1)/(7)}`

Explanation:

Solve for the value of
`x`:

`6(4x + 5) = 3(x + 8) + 3`

-Use Distributive Property:

`6(4x + 5) = 3(x + 8) + 3`

`24x + 30 = 3x + 24 + 3`

-Combine like terms:

`24x + 30 = 3x + 24 + 3`

`24x + 30 = 3x + 27`

-Take
`3x` and subtract it from
`24x`:

`24x + 30 -3x = 3x - 3x + 27`

`21x + 30 = 27`

-Subtract both sides by
`30`:

`21x + 30 - 30 = 27 - 30`

`21x = -3`

-Divide both sides by
`21`:

`(21x)/(21) = (-3)/(21)`

`x = (-3)/(21)`

-Reduce the fraction to the lowest term by extracting and canceling out
`3`:

`x = (-3/3)/(21 / 3)`

`\boxed {x = -(1)/(7)}`

Therefore, the value of
`x` is
`-(1)/(7)`.