Negative four is multiplied by the quantity x+8. If 6x is then added to this, the result is 2x+32. What is the value of x?

1 Answer
Feb 21, 2018

#"no solution"#

Explanation:

#" the statement can be expressed algebraically as"#

#-4(x+8)+6x=2x+32#

#"distribute and simplify"#

#-4x-32+6x=2x+32#

#rArr2x-32=2x+32#

#"subtract "2x" from both sides"#

#rArrcancel(2x)cancel(-2x)-32=cancel(2x)cancel(-2x)+32#

#rArr-32=32#

#"this is meaningless hence there is no solution"#