Question

-50 = -5x - 3(5x + 15)

Answer 1

`x = (1)/(4)`

Explanation:

`-50 = -5x - 3(5x + 15)`

Use -3 to open the bracket

`-3(5x +15)\\\\= -15x -45\\\\ -50 = -5x-15x -45`

Collect like terms

`-50 +45 =-5x -15x`

Simplify

`-5 = -20x`

Divide both sides of the equation by -20

`(-5)/(-20) = (-20x)/(-20) \\\\1/4 =x\\\\x = (1)/(4)`

Answer 2

x =1/4

Explanation:

`-50 = -5x - 3(5x + 15)\\\\-5x-3\left(5x+15\right)=-50\\\\\mathrm{Expand}\:-3\left(5x+15\right):\quad -15x-45\\-5x-15x-45=-50\\\\\mathrm{Add\:similar\:elements:}\:-5x-15x=-20x\\-20x-45=-50\\\\\mathrm{Add\:}45\mathrm{\:to\:both\:sides}\\-20x-45+45=-50+45\\\\Simplify\\-20x=-5\\\\\mathrm{Divide\:both\:sides\:by\:}-20\\(-20x)/(-20)=(-5)/(-20)\\\\Simplify\\x=(1)/(4)`