Question

Simplify using the distributive property.
10 - 2(x - 7) = 4(x - 5)

Answer 1

Hey there!

The Distributive Property states the following:

a(b+c)=ab+ac

Now simplify:

10-2(x-7)=4(x-5)

10-2x+14=4x-20

`\bigstar` A negative times a negative is a positive

10-2x+14=4x-20

Subtract 10 from both sides:

-2x+14=4x-30

Subtract 4x from both sides:

-2x-4x+14=-30

-6x+14=-30

Subtract 14 from both sides:

-6x=-30-14

-6x=-44

Divide both sides by -6:

x=44/6

x=22/3 (In simplest form)

Hope everything is clear.

Let me know if you have any questions!

#KeepLearning

`\boxed{An~Emotional~Helper~Here}`

Answer 2

x = 44/6

Explanation:

10-2(x-7)= 4(x-5)

10-2x+14 = 4x-20

-2x +24 = 4x - 20

-2x -4x = -20 -24

-6x = -44

x = 44/6