Question

Solve for x 7+5x-2=3x-4(3-x) What is x?

Answer 1

`x=8.5`

Explanation:

`7+5x-2=3x-4(3-x)`
`7+5x-2=3x-12+4x`
`2x=17`
`x=17/2`
`x=8.5`

Answer 2

`x=8.5`

Explanation:

`5x+5=3x-12+4x`
`5x+5=7x-12`
`17=2x`
`x=8.5`

Answer 3

17/2

Explanation:

Let's take the initial equation:
`7 + 5x - 2 = 3x-4(3-x)`
We can simplify the left hand side by adding `7` and `-2`
`5x + 5 = 3x-4(3-x)`:
We can simplify the right hand side by multiplying `3` and `-x` by `-4`:
`5x + 5 = 3x-12+4x`
We can simplify again by adding `3x` and `-4x`:
`5 + 5x = 7x-12`
Now let's subtract `5` from both sides and subtract `7x` from both sides to move all `x` values to one side of the equation:
`(5 + 5x) - 5 = (7x-12) - 5`
`5x = 7x-17`
`(5x) - 7x = (7x-17) - 7x`
`- 2x = -17`
Divide both sides by `-2` and we have our answer.
`x = (-17)/-2`
`x = 17/2`