Question

How do you solve `abs(7x + 2)= 10`?

Answer 1

`x = 8/7 ; x = -12/7`

Absolute value is the distance of a given number from `0`. This means in the problem, `7x+2 = 10` or `7x+2=-10`

Solving both of the equations:
`7x + 2 =10`
`7x = 8`
`x = 8/7`

`7x+2 = -10`
`7x=-12`
`x=-12/7`