Answer: [tex]x=-7[/tex]
Simplify both sides of the equation
[tex](3x+5x)+(17)=7x+10[/tex] (Combine Like Terms)
[tex]8x+17=7x+10[/tex]
Subtract 7x from both sides
[tex]8x+17-7x=7x+10-7x\\x+17=10[/tex]
Subtract 17 from both sides
[tex]x+17-17=10-17\\x=-7[/tex]