Final answer:
To solve the equation 2x + 3(3x - 5) = 51, distribute the 3 to both terms inside the parentheses, combine like terms, isolate the variable x, and divide both sides by 11.
Step-by-step explanation:
To solve the equation 2x + 3(3x - 5) = 51, we first distribute the 3 to both terms inside the parentheses:
2x + 9x - 15 = 51
Combining like terms:
11x - 15 = 51
Next, we isolate the variable x by adding 15 to both sides:
11x = 66
Finally, divide both sides by 11 to solve for x:
x = 6