Question

6-x=5x+30

what is x​

Answer 1

`=-4`

Explanation:

`6-x=5x+30\\\mathrm{Subtract\:}6\mathrm{\:from\:both\:sides}\\6-x-6=5x+30-6\\\mathrm{Simplify}\\-x=5x+24\\\mathrm{Subtract\:}5x\mathrm{\:from\:both\:sides}\\-x-5x=5x+24-5x\\Simplify\\-6x=24\\\mathrm{Divide\:both\:sides\:by\:}-6\\(-6x)/(-6)=(24)/(-6)\\Simplify\\(-6x)/(-6)=(24)/(-6)\\\mathrm{Simplify\:}(-6x)/(-6):\quad x\\(-6x)/(-6)\\\mathrm{Apply\:the\:fraction\:rule}:\quad (-a)/(-b)=(a)/(b)\\=(6x)/(6)\\\mathrm{Divide\:the\:numbers:}\:(6)/(6)=1\\=x`

`\mathrm{Simplify\:}(24)/(-6):\quad -4\\(24)/(-6)\\\mathrm{Apply\:the\:fraction\:rule}:\quad (a)/(-b)=-(a)/(b)\\=-(24)/(6)\\\mathrm{Divide\:the\:numbers:}\:(24)/(6)=4\\=-4\\`

Answer 2

x = -4

Explanation:

6 -x = 5x + 30

6 - 30 = 5x + x

-24 = 6x

divide both sides by 6 to get x = -4