Question

What's the x for
-2(x+3)=-10

Answer 1

x+3=-10/-2=5

x=5-3=2

Answer 2

`x=2`

Explanation:

`-2(x+3)=-10\\\mathrm{Divide\:both\:sides\:by\:}-2\\(-2\left(x+3\right))/(-2)=(-10)/(-2)\\Simplify\\(-2\left(x+3\right))/(-2)=(-10)/(-2)\\(-2\left(x+3\right))/(-2)\\\mathrm{Apply\:the\:fraction\:rule}:\quad (-a)/(-b)=(a)/(b)\\=(2\left(x+3\right))/(2)\\\mathrm{Divide\:the\:numbers:}\:(2)/(2)=1\\=x+3`

`\mathrm{Simplify\:}(-10)/(-2):\quad 5\\(-10)/(-2)\\\mathrm{Apply\:the\:fraction\:rule}:\quad (-a)/(-b)=(a)/(b)\\=(10)/(2)\\\mathrm{Divide\:the\:numbers:}\:(10)/(2)=5\\=5\\x+3=5\\\mathrm{Subtract\:}3\mathrm{\:from\:both\:sides}\\x+3-3=5-3\\\mathrm{Simplify}\\x=2`