How many solutions does this equation have 3 (x+11) = 6 (x + 33)

Divide both sides by 3

expand

subtract x from both sides

simplify 2x + 66 - x to x + 66

subtract 66 from both sides

simplify 11 - 66 to - 55

switch sides

x = - 55

Answer: this equation 3 (x + 11) = 6 (x + 33) has only ONE solution and that would be x = - 55.