Question

How do you combine like terms in `-5( 7+ 8x ) + x ( 3x - 5)`?

Answer 1

The simplified answer is `3x^2+45x-35`

Explanation:

1) Distribute -5 to (`7+8x`)
Distribute x to `(3x-5)`
This makes the equation (`-35-40x)+(3x^2-5x`)

2) Combine like terms
(`-35-45x+3x^2)`

3) Reword it so the squared 3x is first, then -45x, and finally -35

Final Answer

`3x^2-45x-35`

Answer 2

`3x^2-45x-35`
(see below for method)

Explanation:

`underbrace(-5(7+8x))+underbrace(x(3x-5))`

`=-35-40xcolor(white)("xx")+color(white)("xx")3x^2-5x`

Combining like terms:
#{: (,"terms involving "x^2,color(white)("xx"),"terms involving "x,color(white)("xx"),"terms involving only constants"), (,3x^2,,-40x,,-35), (,ul(color(white)("XXXX")),,ul(-5x),,ul(color(white)("XXXX"))), (=color(white)("xx"),color(blue)(3x^2),,color(blue)(-45x),,color(blue)(-35)) :}#