Answer:
![\boxed{ \bold{ \huge{ \boxed{ \sf{ x - 4}}}}}](https://img.qammunity.org/2021/formulas/mathematics/high-school/qm1jpjyj5t9zei5u0dh7uhyykxf7yhs2nl.png)
Explanation:
![\sf{6(x + 1) - 5(x + 2)}](https://img.qammunity.org/2021/formulas/mathematics/high-school/6y6g21iicjeuqgsqp92eqnwkdsx9e4f4l2.png)
Distribute 6 through the parentheses
Similarly, distribute 5 through the parentheses
![\longrightarrow{ \sf{6x + 6 - 5x - 10}}](https://img.qammunity.org/2021/formulas/mathematics/high-school/igx2g12mxt0r1rrc0uenl8ils7h6p6x8ec.png)
Collect like terms
![\longrightarrow{ \sf{ x + 6 - 10}}](https://img.qammunity.org/2021/formulas/mathematics/high-school/8hfrzjwt759q51l890l74pn1yuwo3mvkem.png)
The negative and positive integers are always subtracted but posses the sign of bigger integer
![\longrightarrow{ \sf{ x - 4}}](https://img.qammunity.org/2021/formulas/mathematics/high-school/9khu9ccxhojinfd0302ipj8p8ey4l5t7zk.png)
Hope I helped!
Best regards! :D