Question

What is the solution to the equation 3 (2 x + 5) = 3 x + 4 x?

Answer 1

`\boxed {x = 15}`

Explanation:

Solve for
`x`:

`3(2x + 5) = 3x + 4x`

-Use Distributive Property:

`3(2x + 5) = 3x + 4x`

`6x + 15 = 3x + 4x`

-Combine like terms:

`6x + 15 = 3x + 4x`

`6x + 15 = 7x`

-Take
`7x` and subtract it from
`6x`:

`6x + 15 - 7x = 7x - 7x`

`-x + 15= 0`

-Subtract
`15` on both sides:

`-x + 15 - 15 = 0 - 15`

`-x = -15`

-Take
`-x` and divide it on both sides:

`(-x)/(-1) = (-15)/(-1)`

`\boxed {x = 15}`

So, therefore, the value of
`x` is
`15`.

Answer 2

15 = x

Explanation:

3 (2 x + 5) = 3 x + 4 x

6x + 15 = 7 x

15 = 7 x - 6x

15 = x