To solve the equation 3/4 (x + 9) = 15, we can follow these steps:
Simplify the expression on the left-hand side by distributing the 3/4:
3/4 (x + 9) = 15
3/4x + 27/4 = 15
Subtract 27/4 from both sides to isolate the variable term:
3/4x + 27/4 - 27/4 = 15 - 27/4
3/4x = 33/4
Multiply both sides by the reciprocal of 3/4, which is 4/3, to solve for x:
(4/3) * 3/4x = (4/3) * 33/4
x = 11
Therefore, the solution to the equation 3/4 (x + 9) = 15 is x = 11.