x1/5= 3
For absolute equations, you actually have two equations you are solving for:
x  1/5 = 3
and (x  1/5) = 3. There you have a negative outside the parentheses, that means you have to just switch the signs around in the parenthesis (aka multiply by 1).
So you would end up with x + 1/5 = 3.
So your two equations to solve for x are:
x  1/5 = 3 and x + 1/5 = 3.
To solve the left equation, add 1/5 to both sides:
x = 3 + 1/5 But you need to change the fractions to get an answer.
x = 15/5 + 1/5
x = 16/5 this is your first answer.
Now solve the second equation: x + 1/5 = 3.
It's pretty much the same thing: except you subtract 1/5 from both sides.
x = 3  1/5
now change the fractions
x = 15/5  1/5
x = 14/5
x is negative (or multiplied by 1) so in order to find positive x, you need to divide both sides by 1, or just change the signs.
So you end up with:
x = 14/5
and you are done! :)
1/17/2013

Catherine F.
Comments
first, for x = 3, we have x = (+/)3; so, therefore, by analogy, x  1/5 = 3 means that x  1/5 = 3, or x  1/5 = 3; in either case, add 1/5 to each side of the equation; in the first equation, we then get x = 3 + 1/5 = 15/5 + 1/5 = 16/5; and in the second equation, we get x = 3 + 1/5 = 15/5 + 1/5 = 14/5