Question

What is 11(x+10)+5x=11+7x

Answer 1

How to get answer by Mimiwhatsup:

`11\left(x+10\right)+5x=11+7x\\11\left(x+10\right)+5x\\\mathrm{Apply\:the\:distributive\:law}:\quad \:a\left(b+c\right)=ab+ac\\a=11,\:b=x,\:c=10\\a=11,\:b=x,\:c=10\\\mathrm{Multiply\:the\:numbers:}\:11\cdot \:10=110\\=11x+110\\=11x+110+5x\\11x+110+5x\\Group\:like\:terms\\=11x+5x+110\\\mathrm{Add\:similar\:elements:}\:11x+5x=16x\\=16x+110\\16x+110=11+7x\\\mathrm{Subtract\:}110\mathrm{\:from\:both\:sides}\\16x+110-110=11+7x-110\\Simplify\\16x=7x-99\\`

`\mathrm{Subtract\:}7x\mathrm{\:from\:both\:sides}\\16x-7x=7x-99-7x\\\mathrm{Simplify}\\9x=-99\\\mathrm{Divide\:both\:sides\:by\:}9\\(9x)/(9)=(-99)/(9)\\Simplify\\(9x)/(9)=x\\(9x)/(9)\\\mathrm{Divide\:the\:numbers:}\:(9)/(9)=1\\=x\\(-99)/(9)=-11\\(-99)/(9)\\\mathrm{Apply\:the\:fraction\:rule}:\quad (-a)/(b)=-(a)/(b)\\=-(99)/(9)\\\mathrm{Divide\:the\:numbers:}\:(99)/(9)=11\\\\Answer: -11`

Answer 2

X = -11.

11(x+10)+5x=11+7x

11x + 110 + 5x = 11 + 7x

(11x + 5x) + 110 = 7x + 11.

16x + 110 = 7x + 11.

16x + 110 - 7x = 7x + 11 - 7x

9x + 110 + 11.

9x + 110 - 110 =11 - 110.

9x/9 = -99/9

X = -11