Question

How do you solve `4- 7x + 11x = - 2( - 3x + 1)`?

Answer 1

`x=3`

Explanation:

1. Use the distributive property and combine like terms
`4+4x=6x-2`

2. Subtract 4x from both sides
`4=2x-2`

3. Solve for x
`4=2(3)-2`
`4=6-2`
`4=4`
`x=3`

Now that we know what x is, we can substitute for x in the original equation to check our answer
`4-7(3)+11(3)=-2(-3(3)+1)`
`4-21+33=-2(-9+1)`
`16=18-2`
`16=16` (correct)