Answer:
[tex]x =8\frac{3}{10}[/tex]
Step-by-step explanation:
[tex]4(x-7)=0.3(x+2)+2.11\\\\\mathrm{Multiply\:both\:sides\:by\:}100\\\\4\left(x-7\right)\times \:100=0.3\left(x+2\right)\times\:100+2.11\times\:100\\\\Refine\\400\left(x-7\right)=30\left(x+2\right)+211\\\\\mathrm{Expand\:}400\left(x-7\right):\quad 400x-2800\\\mathrm{Expand\:}30\left(x+2\right)+211:\quad 30x+271\\\\400x-2800=30x+271\\\\\mathrm{Add\:}2800\mathrm{\:to\:both\:sides}\\\\400x-2800+2800=30x+271+2800\\\\Simplify\\400x=30x+3071\\\\\mathrm{Subtract\:}30x\mathrm{\:from\:both\:sides}[/tex]
[tex]\mathrm{Subtract\:}30x\mathrm{\:from\:both\:sides}\\\\400x-30x=30x+3071-30x\\\\Simplify\\\\370x=3071\\\\\mathrm{Divide\:both\:sides\:by\:}370\\\frac{370x}{370}=\frac{3071}{370}\\\\Simplify\\x=\frac{83}{10}\\\\x =8\frac{3}{10}[/tex]
