Verified answer

Answer:

x=3

Step-by-step explanation:

First, we should move all the x's to one side.

5x - 2x = -8 + 17

3x = 9

x = 3

Answer:

[tex]\boxed {x = 3}[/tex]

Step-by-step explanation:

[tex]\textsf {Given :}[/tex]

[tex]\longrightarrow \mathsf {5x - 17 = 2x - 8}[/tex]

[tex]\textsf {Subtract 2x from each side :}[/tex]

[tex]\longrightarrow \mathsf {5x - 17 - 2x = 2x - 8 - 2x}[/tex]

[tex]\longrightarrow \mathsf {3x - 17 =- 8}[/tex]

[tex]\textsf {Add 17 to each side :}[/tex]

[tex]\longrightarrow \mathsf {3x - 17 + 17 =- 8 + 17}[/tex]

[tex]\longrightarrow \mathsf {3x = 9}[/tex]

[tex]\textsf {Divide by 3 on each side :}[/tex]

[tex]\longrightarrow \mathsf {\frac{3x}{3} = \frac{9}{3}}[/tex]

[tex]\longrightarrow \mathsf {x = 3}[/tex]