Question

How do you solve `-3+ 3( x + 5) = 6+ 5x`?

Answer 1

`x = 3`

Explanation:

`-3 + 3(x+5) = 6 + 5x`

First, we want to use the distribute property to simplify `3(x+5)`. This means that we "distribute" or multiply the `3` to everything inside the parenthesis. So:
`3 * x = 3x`

`3 * 5 = 15`

and when you combine them you get `3x + 15`. Now let's put this back into the equation:
`-3 + 3x + 15 = 6 + 5x`

Now let's add `-3` to `15`:
`12 + 3x = 6 + 5x`

Now let's subtract `12` on both sides of the equation:
`3x = -6 + 5x`

Then let's subtract `5x` on both sides of the equation:
`-2x = -6`

Finally, let's divide both sides by `-2` to get the value of `x`:
`x = 3`

Answer 2

`x=3`

Explanation:

`-3+3(x+5)=6+5x`

Distributive property
`-3+3x+15=6+5x`

Combine like terms
`12+3x=6+5x`

Subtract `6` from both sides
`6+3x=5x`

Subtract `3x` from both sides
`6=2x`

Divide both sides by `2`
`3=x`