Question

2x+5-3x=8(x+1); solve for x.

Answer 1

We are given:

2x + 5 - 3x = 8(x + 1)

We can start with several things. First, we can combine the x terms on the left side of the equation, and apply the distributive property on the right side of the equation.

5 - x = 8x + 8

Now, we can add x to both sides, and subtract 8 from both sides to isolate the variable.

5 - x = 8x + 8

-8 + x + x -8

We end up with:

9x = -3

By dividing both sides by 9, we get x =
`-(1)/(3)`.

If you want to check your answer, just plug x in!

2(
`-(1)/(3)`) + 5 - 3(
`-(1)/(3)`) = 8(
`-(1)/(3)` + 1)

`-(2)/(3)` + 5 + 1 =
`-(8)/(3)` + 8

`-(2)/(3)` +
`(18)/(3)` =
`-(8)/(3)` +
`(24)/(3)`

`(16)/(3)` =
`(16)/(3)`

As you can see,
`(16)/(3)` =
`(16)/(3)` as a result of having x =
`-(1)/(3)`.

Answer 2

First you must distribute the 8 to the numbers inside the parentheses

2x + 5 - 3x = 8 (x + 1)

2x + 5 - 3x = 8*x + 1*8

2x + 5 - 3x = 8x + 8

Now you must combine like terms (let's first start with the like terms on the left side). This means the numbers with the same variables must be combined...

-3x + 2x = -x

so...

-x + 5 = 8x + 8

Now you must combine like terms by combining -x with 8x. To do this first add 1x to both sides (what you do on one side you must do to the other). Since x is negative on the left side, addition (the opposite of subtraction/negative) will cancel it out (make it zero) from the left side and bring it over to the right side.

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

0 + 5 = 9x + 8

5 = 9x + 8

Now bring 8 to the left side by subtracting 8 to both sides (what you do on one side you must do to the other). Since 8 is being added on the right side, subtraction (the opposite of addition) will cancel it out (make it zero) from the right side and bring it over to the left side.

5 - 8 = 9x + 8 - 8

-3 = 9x

Next divide 9 to both sides to finish isolating x. Since 9 is being multiplied by x, division (the opposite of multiplication) will cancel 9 out (in this case it will make 9 one) from the right side and bring it over to the left side.

-3/9 = 9x/9

x =
`(-1)/(3)`

Hope this helped!

~Just a girl in love with Shawn Mendes