Question

3 (-8+2x) -5x =8x + 12

Answer 1

x=-5.14

Explanation:

Distribute the 3 to -8 (-24) and 2x (6x). subtract 5x from 6x to get 1x. Subtract 8x from 1x to get -7x. Add 24 to 12 to get 36. Divide 36 by -7 to get x=-5.14

Answer 2

`\large\boxed{x=-(36)/(7)\to x=-5(1)/(7)}`

Explanation:

`3(-8+2x)-5x=8x+12\qquad\text{use the distributive property}\\\\(3)(-8)+(3)(2x)-5x=8x+12\\\\-24+6x-5x=8x+12\qquad\text{combine like terms}\\\\-24+(6x-5x)=8x+12\\\\-24+x=8x+12\qquad\text{add 24 to both sides}\\\\-24+24+x=8x+12+24\\\\x=8x+36\qquad\text{subtract}\ 8x\ \text{from both sides}\\\\x-8x=8x-8x+36\\\\-7x=36\qquad\text{divide both sides by (-7)}\\\\(-7x)/(-7)=(36)/(-7)\\\\x=-(36)/(7)`