Question

How to solve 0.3(x+3) = 0.10x + 1.80

Answer 1

0.3(x+3) = 0.3 x + 0.9 = 0.10x + 1.80

can you do the rest?

Answer 2

um im a little confused with what u did

Answer 3

What is 0.3 * 3 =??

Answer 4

0.9

Answer 5

a(b+c) = ab+ac

Answer 6

This is known as distributive law.

Answer 7

oh you just distributed sorry yeah i get it

Answer 8

now what do i do?

Answer 9

why?

Answer 10

\[ 0.3 x + 0.9 = 0.10x + 1.80 \implies 0.7x =- 0.9 \]

Answer 11

Combining the like terms.

Answer 12

subtract 0.3 x from both sides

Answer 13

okay now you just divide

Answer 14

That's right!

Answer 15

Ok Good work :D @FoolForMath

Answer 16

wait but i typed this into a website and it gave me 4.5 it wouldn't show the steps though and when i do it like this it doesn't come out 4.5

Answer 17

LOL. Multiply the numerator and denominator by 10 and then try

Answer 18

0.3(x+3) = (0.10x + 1.80) do the parentheses make a difference now??

Answer 19

Take your original equation and multiply each term by 10 to remove all decimal points and then use the distributive property:
\[10\times.3(x+3)=10\times.10x+10\times1.80\]
\[3(x+3)=1x+18\]
\[3x+9=x+18\]
\[2x=9\]
\[x=\frac{9}{2}\]

Answer 20

why would you multiply by 10 though???

Answer 21

To get rid of decimal

Answer 22

makes it easier to eliminate decimal points

Answer 23

Basically
If
a = b+c
Then
10a = 10b+10c

Answer 24

true dat

Answer 25

so now the answer is 4.5

Answer 26

Wait, I was being a FOOL, my last step was incorrect,

\[ 0.3 x + 0.9 = 0.10x + 1.80 \implies 0.2x = 0.9 \implies x= \frac 9 2 \]

Answer 27

okay lol thanks you guys!

Answer 28

Glad to help!