How do you solve -4(x-8)+(-x-3)=44(x8)+(x3)=4?

2 Answers
Mar 24, 2017

x=5x=5

Explanation:

Lets simplify this equation first by distributing the -44 to (x-8)(x8)

-4(x-8)->-4x+324(x8)4x+32

Now lets combine like terms:
color(blue)(-4x)+color(red)32color(blue)(-x)color(red)(-3)=color(red)4 ->color(blue)(-5x)+color(red)29=color(red)44x+32x3=45x+29=4

Now we'll isolate the xx by first subtracting 29 from both sides:

color(blue)(-5x)+color(red)cancel(29-29)=color(red)(4-29)

color(blue)(-5x)=color(red)(-25)

Then divide 5 on both sides:
color(blue)cancel(-5/5x)=color(red)(-25/5)

color(blue)x=color(red)5

We can verify the solution but substituting 5 for x in the original equation.

-4((color(red)5)-8)-(color(red)5)-3=4

-4(-3)-(color(red)5)-3=4

12-(color(red)5)-3=4

7-3=4

4=4

Mar 24, 2017

x=5

Explanation:

Solve:

-4(x-8)+(-x-3)=4

Expand.

-4x+32+(-x-3)=4

Remove the parentheses.

-4x+32-x-3=4

Gather like terms.

-4x-x+32-3=4

Simplify.

-5x+29=4

Subtract 29 from both sides.

-5x+cancel(29)-cancel(29)=4-29

-5x=-25

Divide both sides by -5.

(cancel(-5)x)/cancel(-5)=cancel(-25)^5/cancel(-5)^1

x=5