Question

4(x-7)=0.3(x+2)+2.11

Answer 1

`x =8(3)/(10)`

Explanation:

`4(x-7)=0.3(x+2)+2.11\\\\\mathrm{Multiply\:both\:sides\:by\:}100\\\\4\left(x-7\right)* \:100=0.3\left(x+2\right)*\:100+2.11*\: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}`

`\mathrm{Subtract\:}30x\mathrm{\:from\:both\:sides}\\\\400x-30x=30x+3071-30x\\\\Simplify\\\\370x=3071\\\\\mathrm{Divide\:both\:sides\:by\:}370\\(370x)/(370)=(3071)/(370)\\\\Simplify\\x=(83)/(10)\\\\x =8(3)/(10)`