Question

How do you solve `7( 2x - 1) = 5( x - 14)`?

Answer 1

`x=-7`

Explanation:

Expand the brackets

`14x-7=5x-70`

Subtract `5x` from both sides

`9x-7=-70`

Add `7`to both sides

`9x=-63`

Divide both sides by `9`

`x=-7`

Answer 2

`x=-7`

Explanation:

`7(2x-1)=5(x-14)`

Distribute and multiply `7` to `2x` and `-1` to get

`14x-7=`

Then distribute and multiply `5` to `x` and `-14` to get

`=5x-70`

Put together, it will look like this

`14x-7=5x-70`

Then add `70` to `-70` and `-7` to get

`14x+63=5x`

Then subtract `14x` from `14x` and `5x` to get

`63=-9x`

Divide by `-9` on both sides to get

`-7=x`

Answer 3

See solution below:

Explanation:

First expand out the brackets:
`7(2x-1) = 14x -7`
and
`5(x-14) = 5x - 70`

Hence, the equation becomes:
`14x-7=5x-70`

Now rearrange to make `x` the subject:

1. Subtract `5x` from both sides to obtain:
   `=> 14x-5x-7=5x-5x-70`
   `=> 9x-7=70`

2. Then add 7 to both sides to isolate `x`
   `=> 9x-7+7=-70+7`
   `=> 9x = -63`

3. Finally, divide both sides by 9 to obtain `x`
   `=> x=-63/9`

Hence,
`x=-7`