Question

4(2x – 7) = -4
what does x equal

Answer 1

`x=3`

Explanation:

We start off with: 4(2x – 7) = -4

We first need to get rid of the grouping symbols.

Use the distributive property:

`4*2x=8x\\4*-7=-28`

`8x-28=-4`

We now need to get rid of -28.

Use the addition property of equality:

`8x(-28+28)=-4+28\\-4+28=24\\8x=24`

Now we have 8x=24. We need to do one more step before we get x by itself.

Use the division property of equality:

`(8x)/(8) =(24)/(8) \\x=3`

So, the value of x is 3.

Answer 2

x = 3

Explanation:

Given

4(2x - 7) = - 4 ( divide both sides by 4 )

2x - 7 = - 1 ( add 7 to both sides )

2x = 6 ( divide both sides by 2 )

x = 3