The given absolute value equation is \(|2x-5|=7\).

The absolute value of a number x is given by:

\(|x|=\left\{(x,\ if\ x\geq 0),(-x, if x<0)\right\}\)</span>

This represents the distance of x from the origin on the real number line.

To solve absolute value equation, solve two separate equations as,

\(2x-5=7\) or \(2x-5=-7\)

Thus, the absolute value equation can be solved by property of absolute value number.

The absolute value of a number x is given by:

\(|x|=\left\{(x,\ if\ x\geq 0),(-x, if x<0)\right\}\)</span>

This represents the distance of x from the origin on the real number line.

To solve absolute value equation, solve two separate equations as,

\(2x-5=7\) or \(2x-5=-7\)

Thus, the absolute value equation can be solved by property of absolute value number.