How do you solve 4.4x = 26.4?

2 Answers
Apr 18, 2018

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

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