Question 1194097
<br>
The statement of the problem is deficient.  As worded, there are an infinite number of solutions.<br>
"The sum of two times a number and 2 is five times the difference of a number and six."<br>
With that wording, there are two possibly different numbers in the problem.  The wording of the problem must make it clear that the two numbers in the problem are the same number:<br>
The sum of two times a number and 2 is five times the difference of {{{cross(a)}}} THE number and six.<br>
Assuming the problem is talking about a single number x...<br>
{{{2x+2=5(x-6)}}}
{{{2x+2=5x-30}}}
{{{3x=32}}}
{{{x=32/3}}}<br>