To solve the equation, represent the unknown number as 'x' and set up an equation for the given conditions. Then, solve for the value of 'x'. The solution to the equation is x = 7.5.
To solve the equation, let's represent the unknown number as 'x'.
According to the problem, 'Nine more than 3 times a number' can be written as 3x + 9.
'5 times a number' can be written as 5x.
'6 less than twice the number' can be written as 2x - 6.
Now, we can set up the equation:
3x + 9 = 5x = 2x - 6
Subtract 3x from both sides: 9 = 2x - 6
Add 6 to both sides: 15 = 2x
Divide both sides by 2: 7.5 = x
Therefore, the solution is x = 7.5.