Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{x = 3}}}}}[/tex]
Step-by-step explanation:
[tex] \sf{ - 4x + 1 = 2x - 17}[/tex]
Move 2x to left hand side and change it's sign
Similarly, move 1 to right hand side and change it's sign
[tex] \dashrightarrow{ \sf{ - 4x - 2x = - 17 - 1}}[/tex]
Collect like terms
[tex] \dashrightarrow{ \sf{ - 6x = - 17 - 1}}[/tex]
The negative integers are always added but posses the negative ( - ) sign
[tex] \dashrightarrow{ \sf{ - 6x = - 18}}[/tex]
Divide both sides by -6
[tex] \dashrightarrow{ \sf{ \frac{ - 6x}{ - 6} = \frac{ - 18}{ - 6}}} [/tex]
Calculate
[tex] \dashrightarrow{ \sf{x = 3}}[/tex]
Hope I helped!
Best regards! :D