Question

3x+1/10=x-1/7 what is x explain how you got the answer

Answer 1

3x+1/10=x-1/7 subtract 1/10 from both sides 3x=-1/7-1/10+x subtract x from both sides 2x=-1/7-1/10 add -1/7 and -1/0 1/7=10/70 1/10=7/70 -10/70-7/70=-17/70 2x=-17/70 divide by 2 ro multiply by 1/2 x=-17/140

Answer 2

$3x+\frac{1}{10}=x-\frac{1}{7}$

To solve for 'x' we first collect simmilar terms. In this case I'll collect 'x'-terms on the left and non-'x'-terms on the right.

Start by subtracting 1/10 from both sides:
$3x+\frac{1}{10}-\frac{1}{10}=x-\frac{1}{7}-\frac{1}{10}$
and simplify:
$3x=x-\frac{10}{70}-\frac{7}{70}$
$3x=x-\frac{17}{70}$

We now have all non-'x'-terms on the right. We can get all the 'x' terms on the left by subtracting 'x' from both sides:

$3x-x=x-\frac{17}{70}-x$
and simplifying:
$2x=-\frac{17}{70}$

Then we can solve for x by dividing both sides by 2:
$\frac{2x}{2}=\frac{-\frac{17}{70}}{2}$
and simplifying:
$x=-\frac{17}{140}$