Question

8 3/5 = -4x + 5 3/5 ??
Solution??

Answer 1

as a decimal:
`x=-0.75`

as a fraction:
`x=-(3)/(4)`

Explanation:

note: i'm going to convert the fractions to decimals because i prefer working with decimals rather than fractions :)

• 
  `8(3)/(5)` as a decimal is
  `8.6`

• 
  `5(3)/(5)` as a decimal is
  `5.6`

• the equation is now
  `8.6=-4x+5.6`

first, subtract 5.6 from both sides of the equation.

• 
  `5.6` and
  `-5.6` cancel each other out, leaving you with
  `-4x+0` on the right side of the equation. it's not necessary to leave the
  `0` in the equation, so just leave it as
  `8.6=-4x`

• now subtract
  `5.6` from the left side of the equation.
  `8.6-5.6=3`, therefore the equation is now
  `3=-4x`

then divide both sides of the equation by -4.

• you are left with
  `x` on the right side of the equation and
  `-(3)/(4)` or
  `-0.75` on the left side of the equation, aka
  `x=-0.75` or
  `x=-(3)/(4)`

and that's it! the solution as a fraction is
`x=-(3)/(4)` and as a decimal is
`x=-0.75`.

if you want to check the solution, just plug one of those values in for
`x` in the original equation. since i converted it all to decimals, i'll check my answer using
`-0.75` for
`x` in
`8.6=-4x+5.6`.

first, plug in -0.75 for x.

• 
  `8.6=-4x+5.6` ⇒
  `8.6=-4(-0.75)+5.6`

begin simplifying by multiplying -4 and -0.75.

• 
  `-4(-0.75) = 3`
• 
  `8.6=3+5.6`

add 3 and 5.6.

• 
  `3+5.6=8.6`

• 
  `8.6=8.6`

since both sides of the equation are equal, that means your
`x` value is correct and therefore a solution to the equation!! :)

i hope this helped! have a lovely rest of your day <3

Answer 2

x=−3/4

Explanation:

Step 1: Simplify both sides of the equation.

435=−4x+285

Step 2: Flip the equation.

−4x+285=435

Step 3: Subtract 28/5 from both sides.

−4x+285−285=435−285

−4x=3

Step 4: Divide both sides by -4.

−4x−4=3−4

x=−34