x = 2
Collect terms in x to one side of the equation and numeric values on the other side.
1 + 4x = - 5 + 7x ( subtract 7x from both sides )
1 + 4x - 7x = - 5
1 - 3x = - 5 ( subtract 1 from both sides )
- 3x = - 6 ( divide both sides by - 3 )
x = [tex]\frac{- 6}{- 3}[/tex] = 2