# Solve absolute value equation or indicate the equation has no

Solve absolute value equation or indicate the equation has no solution.
|2x - 1 | + 3 = 3
You can still ask an expert for help

• Questions are typically answered in as fast as 30 minutes

Solve your problem for the price of one coffee

• Math expert for every subject
• Pay only if we can solve it

kaluitagf
Step 1
given:
|2x-1|+3=3
Step 2
|2x-1|+3=3
therefore,
|2x-1|+3=3
|2x-1|=0
as we know that if |x|=a then $x=±a$.
therefore
|2x-1|=0
$2x-1=±0$
2x-1=0
2x=1
$x=\frac{1}{2}$
therefore solution of the given equation is $x=\frac{1}{2}$

Orlando Paz
Given,
|2x-1|+3=3
On simplification, we get
|2x-1|+3=3
$⇒|2x-1|=3-3$
$⇒|2x-1|=0$
$⇒2x-1=0$
$⇒2x=1$
$⇒x=\frac{1}{2}$