Answer:
[tex]x=\frac{23}{6}[/tex] or [tex]4.6[/tex]
Step-by-step explanation:
[tex]3x + 2x + 7 = 10x - 16[/tex]
[tex]5x+7=10x-16[/tex]
Subtract 7 from both sides:
[tex]5x+7-7=10x-16-7\\5x=10x-23[/tex]
Subtract 10x from both sides:
[tex]5x-10x=10x-23-10x\\-5x=-23[/tex]
Divide both sides by -5:
[tex]\frac{-5x}{-5}=\frac{-23}{-5}\\x=\frac{23}{5}[/tex] or [tex]4.6[/tex]