equations HELP>!

[Irma Garcia]

solve the follwing equations for the unknown

6.2(x-15.1)=9.3(-x-3.2)
i am having trouble understanding how to get started
i used te distributive property
i got 6.2x-93.62=9.3x-29.76
so how what do i do?

 

[Loren]

One approach would be to eliminate the decimal points by multiplying both sides by 100.

 

[BigGlenntheHeavy]

\(\displaystyle 6.2(x-15.1) \ = \ 9.3(-x-3.2)\)

\(\displaystyle 6.2x-93.62 \ = \ -9.3x-29.76\)

\(\displaystyle 15.5x \ = \ 63.86, \ \implies \ x \ = \ 4.12\)

\(\displaystyle I'll \ leave \ the \ check \ up \ to \ you.\)

 

[Irma Garcia]

thanks for the help i kinda understand how this was done

 

[mathteacher]

After doing the distributive property move the variable you are solving for to the left. Since you only have x that means move anything with an x to the left. Add up the x values. Move anything that does not have an x attached to it to the right. Combine like items. Finally get the coefficient of x to be positive 1. The result is the answer. Please check your solution by back substituting this value into the original equation.