Question

How do you solve `4.3(2x-3)+2.8=9.5x-3`?

Answer 1

`x = -7 8/9` or about `-7.889`

Here's how I did it:

Explanation:

`4.3(2x-3) + 2.8 = 9.5x - 3`

First, let's look at `4.3(2x-3)`. To simplify, we "distribute" or multiply the `4.3` with everything inside the parenthesis:
`4.3 * 2x = 8.6x`

`4.3 * -3 = -12.9`

Now let's put these back into the equation:
`8.6x - 12.9 + 2.8 = 9.5x - 3`

Now we combine like terms and simplify:
`8.6x -10.1 = 9.5x - 3`

Add `10.1` to both sides of the equation:
`8.6x = 9.5x + 7.1`

Subtract `9.5x` from both sides of the equation:
`-0.9x = 7.1`

Finally, divide both sides by `-0.9` to get the value of `x`:
`x = -7 8/9` or about `-7.889`