Answer
\[\left\{ x:x\text{ is a real number} \right\}\].
Work Step by Step
Consider the equation\[7x+13=2\left( 2x-5 \right)+3x+23\].
Apply the distributive law to get,
\[7x+13=4x-10+3x+23\]
This gives,
\[7x+13=7x+13\]
This is true for every real\[x\]. Thus, the given equation is identity whose solution set is \[\left\{ x:x\text{ is a real number} \right\}\].
The required solution is\[\left\{ x:x\text{ is a real number} \right\}\].
