This is a linear equation in x.
So you need to group like terms
![1 + 4x = - 5 + 7x](https://img.qammunity.org/2019/formulas/mathematics/high-school/1hncmc8zljcaq5x20yw1t3y6tsd4kh9phe.png)
Let us group the x terms on the Right Hand Side of the equation and the constant terms on the Left Hand Side.
![1 + 5 = 7x - 4x](https://img.qammunity.org/2019/formulas/mathematics/high-school/ytmsspevxp3bcb7okjgck5il6didzbq1bf.png)
We can now simplify
![6 = 3x](https://img.qammunity.org/2019/formulas/mathematics/middle-school/9sup0b79rekr1ed4u0zrbwfsa5tegq82e2.png)
Now let us divide both sides by 3.
![(6)/(3) = (3x)/(3)](https://img.qammunity.org/2019/formulas/mathematics/high-school/fjfx4sx240nzj03tfe0e0u0pkycok45y90.png)
This implies that
![2 = x](https://img.qammunity.org/2019/formulas/mathematics/middle-school/p7gufvkd42uvh5j80fk4t7srx5h7go9urg.png)
or
![x = 2](https://img.qammunity.org/2019/formulas/mathematics/college/v4zl92fn59lvh6ebny7wrqn3v70qes1orj.png)
Let us our answer
![1 + 4(2) = - 5 + 7(2)](https://img.qammunity.org/2019/formulas/mathematics/high-school/7br84w3lw4ter4yrc7v8adxms7b6rvpnv5.png)
![1 + 8 = - 5 + 14](https://img.qammunity.org/2019/formulas/mathematics/high-school/tp50e9qz80dfzagihml21bjh6jco5qd69w.png)
![9 = 9](https://img.qammunity.org/2019/formulas/mathematics/high-school/qdyns3nwz6plm6jqm4b6k6ii4p37qebm8k.png)
Good we are right