Question

Solve for X
5(x+8)= 8(x+1)

Answer 1

x= 32/3

Explanation:

5(x+8)= 8(x+1)

5x+40=8(x+1)

5x=40=8x+8

5x+40=8x+8

5x+40-40=8x+8-40

5x=8x-32

5x=8x-32

5x-8x=8x-32-8x

-3x=-32

-3x = -32

(Divide both by -3)

x=32/3

Answer 2

x =
`(32)/(3)` (see below)

Explanation:

First, use distributive property:

5 (x + 8) = 8 (x + 1)

5x + 40 = 8x + 8

Then, simplify the equation by combining like terms. You want to isolate the variable to one side of the equation so you can solve for it. Here what I'm talking about:

5x + 40 = 8x + 8

-5x -5x

-------------------------

40 = 3x + 8

-8 -8

-----------------

32 = 3x

Now, divide both sides by 3 to get the value of x:

3x = 32

x =
`(32)/(3)`

or

x ≈ 10.7