Two more than 4 times a number is -18. What is the number?

2 Answers

#x = -5#

Explanation:

Two more than #4# times a number is #-18# is

#-18 = 4x + 2#

#4x + 2 = -18#

or

#2 + 4x = -18#

You subtract both sides by #2# to get

#-20 = 4x#

or

#4x = -20#

You then divide both by #4# to get

#x = -5#

A negative number divided by a positive number equals a negative number.

Tell me if you have any questions!

Oct 4, 2017

#2+4x=-18#
#therefore# #x=-5#

Explanation:

Let #x# be the number.

2 more than 4 times a number is the same as saying #2+4x#.

You then equate this to #-18#, as the question says.

Putting the information into an equation, you get:

#2+4x=-18#

You then solve for #x#:

#2+4x=-18#
#4x=-20#
#therefore# #x=-5#