# Thread: Multi Step Equations snag

1. ## Multi Step Equations snag

i've gotten this assignment completely down, except for two problems...
i've gotten the answers for both of them, the only problem is i cant figure out how to show my work. ive tried every listed method in the book and cant figure it out..please help

17 = 2(3x+1) - x

and

-10 = 4 - 7x/4

*7x/4 is a fraction

thanks in advance

2. Originally Posted by Nightfire
i've gotten this assignment completely down, except for two problems...
i've gotten the answers for both of them, the only problem is i cant figure out how to show my work. ive tried every listed method in the book and cant figure it out..please help

17 = 2(3x+1) - x
$\displaystyle 17 = 2(3x + 1) - x$ .......expand the brackets by taking the 2 on the outside and multiplying everything inside

$\displaystyle \Rightarrow 17 = 6x + 2 - x$ ......now group the x's and simplify

$\displaystyle \Rightarrow 17 = 5x + 2$ ........get the x's alone on the right side by subtracting the 2, since this is an equation, we must subtract the 2 from the other side as well

$\displaystyle \Rightarrow 15 = 5x$ ........divide both sides by 5

$\displaystyle \Rightarrow x = 3$

-10 = 4 - 7x/4

*7x/4 is a fraction
$\displaystyle -10 = 4 - \frac {7x}4$ ........multiply through by 4 to get rid of the fraction

$\displaystyle \Rightarrow -40 = 16 - 7x$

now solve as i did above, remember your objective is to get the x on one side of the equation by itself