According to the given data we have the following equation:
2b-9=5b+6
To solve the variable b of the equation we would make the following:
2b-9=5b+6
First move the variable 5b to the left side, and -9 to the right side.
So:
2b-5b=6+9
Next, add all the elements
-3b=15
Finally calculate b by dividing 15/-3
b=15/-3
b=-5
Therefore, if the variable b=-5, hence check:
2b-9=5b+6
2(-5)-9=5(-5)+6
-10-9=-25+6
-19=-19