Question

50 POINTS! PLEASE HELP!

Solve the equation with parentheses and variables on both sides of the equal sign.
5(x-4)+3x-9x=6-(2x+5)+8x
Part1: Use the distributive property to remove the parentheses.
Part2: Collect any like terms on both sides of the equation.
Part3: Bring all variable terms to one side of the equation. (Hint: Add x to both sides)
Part4: Bring all constant terms to one side. A constant term is a number without a variable. (Hint: Subtract 1 from both sides.)
Part5: Now solve the one-step equation. Show your work.

Answer 1

`Answer:`

`x = -3`

`Step-by-step~explanation:`

`5x-20+3x-9x=6-(2x+5)+8x`

`8x-20-9x=6-(2x+5)+8x`

`-x-20=6-(2x+5)+8x`

`-x-20=6-2x-5+8x`

`-x-20=1-2x+8x`

`-x-20=1+6x`

`-x-20-6x=1`

`-7x-20=1`

`-7x=1+20`

`-7x=21`

`(21)/(-7)`

`-3`

Answer 2

Step 1. Simplify brackets


`5(x-4)+3x-9x=6-2x-5+8x`

Step 2. Simplify
`5(x-4)+3x-9x` to
`5(x-4)-6x`


`5(x-4)-6x=6-2x-5+8x`

Step 3. Simplify
`6-2x-5+8x` to
`1+6x`


`5(x-4)-6x=1+6x`

Step 4. Expand


`5x-20-6x=1+6x`

Step 5. Simplify
`5x-20-6x` to
`-x-20`


`-x-20=1+6x`

Step 6. Add
`x` to both sides


`-20=1+6x+x`

Step 7. Simplify
`1+6x+x` to
`1+7x`


`-20=1+7x`

Step 8. Subtract
`1` from both sides


`-20-1=7x`

Step 9. Simplify
`-20-1` to
`-21`


`-21=7x`

Step 10. Divide both sides by
`7`


`- (21)/(7) =x`

Step 11. Simplify
`(21)/(7)` to
`3`


`-3=x`

Step 12. Switch sides


`x=-3`

Done! :)