Question

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

Answer 1

Answer:

x=−3/4

Step-by-step 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

Answer 2

Answer:

as a decimal: $x=-0.75$

as a fraction: $x=-\frac{3}{4}$

Step-by-step explanation:

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

• $8\frac{3}{5}$ as a decimal is $8.6$

• $5\frac{3}{5}$ 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 $-\frac{3}{4}$ or $-0.75$ on the left side of the equation, aka $x=-0.75$ or $x=-\frac{3}{4}$

and that's it! the solution as a fraction is $x=-\frac{3}{4}$ 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