Question

What is 2a+50=5a-4? Thank you for your time.​

Answer 1

`a=18`

Explanation:

`2a+50=5a-4\\\mathrm{Subtract\:}50\mathrm{\:from\:both\:sides}\\2a+50-50=5a-4-50\\Simplify\\2a=5a-54\\\mathrm{Subtract\:}5a\mathrm{\:from\:both\:sides}\\2a-5a=5a-54-5a\\\mathrm{Simplify}\\-3a=-54\\\mathrm{Divide\:both\:sides\:by\:}-3\\(-3a)/(-3)=(-54)/(-3)\\Simplify\\(-3a)/(-3)=(-54)/(-3)\\\mathrm{Simplify\:}(-3a)/(-3):\quad a\\(-3a)/(-3)\\\mathrm{Apply\:the\:fraction\:rule}:\quad (-a)/(-b)=(a)/(b)\\=(3a)/(3)\\\mathrm{Divide\:the\:numbers:}\:(3)/(3)=1`

`=a\\\mathrm{Simplify\:}(-54)/(-3):\quad 18\\(-54)/(-3)\\\mathrm{Apply\:the\:fraction\:rule}:\quad (-a)/(-b)=(a)/(b)\\=(54)/(3)\\\mathrm{Divide\:the\:numbers:}\:(54)/(3)=18\\=18\\a=18`

Answer 2

2a+50=5a-4

5a-2a=50+4

3a=54

a=18