What is the solution to 0.3(12x - 16) = 0.4(12 - 3x)?

Question

need help for school

Answer 1

Hi Roman:

In this problem you first clear the parenthesis by multiplying through

the numbers on the outside.  Then combine any like terms.  Then, you

need to get all terms with the variable on one side of the equal sign and

the rest on the other side: 

 

0.3(12x - 16) = 0.4(12 - 3x)

 

clear the parenthesis

 

0.3(12x) + 0.3(-16) = 0.4(12) + 0.4(-3x)

 

3.6x - 4.8 = 4.8 - 1.2x

 

add 1.2x to both sides

 

4.8x - 4.8 = 4.8

 

add 4.8 to both sides

 

4.8x = 9.6

 

divide both sides by 4.8

 

x = 2