How do you solve 20=14+3(x+8)?

2 Answers
Mar 27, 2018

x=-6

Explanation:

"distribute parenthesis on the right side of the equation"

20=14+3x+24

rArr20=38+3x

"subtract 38 from both sides"

20-38=cancel(38)cancel(-38)+3x

rArr-18=3x

"divide both sides by 3"

(-18)/3=(cancel(3) x)/cancel(3)

rArrx=-6

color(blue)"As a check"

Substitute this value into the right side of the equation and if equal to the left side then it is the solution.

14+3(2)=14+6=20="left side"

rArrx=-6" is the solution"

Mar 27, 2018

x=-6

Explanation:

Distribute the 3

20=14 + 3x+24

20=38 +3x

Subtract 38 from both sides

20-38 = 3x

-18 = 3x

Divide both sides by 3 to isolate x

-6 = x