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Mathematics 14 Online
OpenStudy (anonymous):

6x + 3 = 15

OpenStudy (anonymous):

x=2

sammixboo (sammixboo):

Since this is a Two Step Equation we must start with the addition part of the problem, and get that out of the way \(\sf \large \color{magenta}{6x~+~3~=~15}\) \(\sf \large \color{magenta}{6x~+~3~-~3~=~15~-~3}\)

OpenStudy (anonymous):

Take 3 from both sides, divide both sides by 6

sammixboo (sammixboo):

What is 3 - 3 and 15 - 3?

OpenStudy (anonymous):

Listne to Sam, not me, hes better at explaining

sammixboo (sammixboo):

3 - 3 = 0 and 15 - 3 = 12, so we plug in 0 and 12 where 3 - 3 was and 15 - 3 like so: \(\sf \large \color{magenta}{6x~+~0~=~12}\) Since Zero is nothing we can take that out of the problem \(\sf \large \color{magenta}{6x~=~12}\)

sammixboo (sammixboo):

Now we have to take care of the \(\sf \large \color{magenta}{6x}\), so we take \(\sf \large \color{magenta}{6}\) and divide it on both sides of the problems.. \(\sf \large \color{magenta}{6x/6~=~12/6}\)

sammixboo (sammixboo):

\(\sf \large \color{magenta}{6x/6 = x}\) and \(\sf \large \color{magenta}{12/6 ~=~2}\), so now our equation looks like this \(\sf \large \color{magenta}{x~=~2}\)

sammixboo (sammixboo):

And that is our answer

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