Respuesta :

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