Question

Question #6b8b3

Answer 1

`x = -9`

Explanation:

The equation can be rewritten with a `-1` in front of the `(10-x)` instead of just having a negative sign:

`-3(3x+15)-1(10+X)=35`

First, distribute the `-3` to the numbers in the parentheses:

`-9x-45-1(10+x)=35`

Then, distribute the `-1` to the numbers in the parentheses:

`-9x-45-10-x=35`

Now you need to isolate all `x` terms on one side so you can eventually solve for it - to do this, add `45` and `10` to both sides of the equation:

`-9x-45-10-x +45 +10=35 +45 +10`
`-9x-x=35 +45 +10`
`-10x = 90`

Divide both sides by `-10` to get x by itself:

`(-10x)/-10 = 90/(-10)`
`x = -9`

So, `x = -9`.

Answer 2

`x=-9`

Explanation:

Order of operations is BEDMAS (or PEMDAS)

`-3*(3x+15) + -1*(10 +x) =35`
Multiply each bracket

`(-3*3x + -3*15) + (-1*10 + -1*x) =35`
`(-9x-45) + (-10-1x)=35`

Combine terms
`-9x-1x -45-10=35`
`-10x-55=35`

Solve
`-10x-55+55=35+55`
`-10x=90`

`(-10x)/-10=90/-10`

`x=-9`

Check by substituting into original formula
`-3(3*-9+15)+ -1(10-9)=35`
`-3(-27+15)+ -1(10-9)=35`
`-3(-12)+ -1(1)=35`
`+36+ -1=35`
`35=35` True