Question

Help with an absolute value equation

Answer 1

\[\left| x+7 \right|=\left| 2x+1 \right|\]

Answer 2

I assume we are solving for x over all real numbers.
So, we have:
\(|x+7|=|2x+1|\)

Which can be then written as:
\(x+7=2x+1,~~~\text{or} ~~~~x+7=-1-2x\)

Then solve for x in each equation.

Answer 3

hence this is an equation moves with absolute values u can't simplify this as a normal equation. But u can plot the 2 absolute-values on a Cartesian plane. Once u draw both functions on the same plane the intersection points of the 2 functions are the answers for x
taking
y1 = |x+7|
y2 = |2x+1|
ur graph is under this link
http://fooplot.com/plot/8gova7o8x3

so
x = -2.667 and 6

Answer 4

Thank you both!

Answer 5

You are very welcome.

Answer 6

u r welcome