Question

How do you solve `3( x + 4) = 8x + 7`?

Answer 1

`x = 1`

Explanation:

`3(x+4) = 8x + 7`

First, we want to use the distributive property to solve. This means that we "distribute" or multiply the `3` with everything in its parenthesis:
`3 * x = 3x`

`3 * 4 = 12`

And when you combine them you get `3x + 12`.

`3x + 12 = 8x + 7`

Now we subtract `3x` from both sides of the equation:
`12 = 5x + 7`

Then we subtract `7` from both sides of the equation:
`5 = 5x`

Finally, we divide both sides by `5` to get the value of `x`:
`x = 1`

Answer 2

`x=1`

Explanation:

Solve:

`3(x+4)=8x+7`

Expand the left-hand side.

`3x+12=8x+7`

Subtract `12` from both sides. Cancel `12` on the left-hand side.

`3x+color(red)cancel(color(black)(12))-color(red)cancel(color(black)(12))=8x+7-12`

Simplify.

`3x=8x-5`

Subtract `8x` from both sides. Cancel `8x` on the right-hand side.

`3x-8x=color(red)cancel(color(black)(8x))-color(red)cancel(color(black)(8x))+19`

Simplify.

`-5x=-5`

Divide both sides by `-5`. Cancel `-5` on the left-hand and right-hand sides.

`(color(red)cancel(color(black)(-5))^1x)/(color(red)cancel(color(black)(-5))^1)=(color(red)cancel(color(black)(-5)))^1/(color(red)cancel(color(black)(-5)))^1`

Simplify.

`x=1`

Answer 3

the answer is `x=1`

Explanation:

first you have to distribute `3` to it's equation and you get`3x+12=8x+7` and now you solve. first get only one `x` so do `8x-3x` and you'll end up with this`12=5x+7` now subtract `7` from both sides. and now you have `5=5x` and now divide `5` with the `x` from both sides. and you get your answer