How do you solve #4.4x = 26.4#?

2 Answers
Apr 18, 2018

Answer:

#x=6#

Explanation:

Since #x# is being multiplied by #4.4#, we need to "undo" the multiplication in order to isolate #x#.

Multiplication is is undone by division, so divide both sides by #4.4#.

#(4.4x)/color(blue)4.4=26.4/color(blue)4.4#

#x=6#

Apr 18, 2018

Answer:

If it is the decimals that are giving you a problem do this.

#x=6#

Explanation:

Given: #4.4x=26.4#

Lets get rod of the decimals. Multiply both sides by 10 giving:

#44x=264#

Divide both sides by 44

#44/44xx x= 264/44#

#x=264/44#
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An informed guess approach for the division using approximation.

Consider #260/40 #

#4xx5=20 <26 ?#
#4xx6=24 < 26?#
#4xx7=28 > 26# so no good

Test:
#44xx6 = 264 larr" Spot on!"#

#x=(264-:44)/(44-:44)=6/1=6#