Question

Solve each equation and check your solution
-3w-4=w+3

Answer 1

`\boxed {w = - (7)/(4) }`

Explanation:

We want to solve the linear equation -3w-4=w+3

We group like terms to get

`- 3w - w = 3 + 4`

`- 4w = 7`

Divide both sides by -4

`w = - (7)/(4)`

Now let us check

`- 3 * - (7)/(4) - 4 = - (7)/(4) + 3`

`(21)/(4) - (16)/(4) = - (7)/(4) + (12)/(4)`

`(5)/(4) = (5)/(4)`

This is true