Final answer:
To solve the equation, simplify and combine like terms, find a common denominator, combine the numerators, isolate the variable, and solve for x.
Step-by-step explanation:
To solve the equation (3x+57)/(7)+(x+40)/(6)=16, we need to simplify and combine like terms. First, we can find a common denominator of 42, and multiply the terms accordingly:
(6x+342)/(42) + (7x+280)/(42) = 16
Next, we can combine the numerators:
(6x+7x+342+280)/(42) = 16
Combining like terms, we get:
(13x+622)/(42) = 16
To isolate the variable, we can multiply both sides of the equation by 42:
13x+622 = 672
Then, we can subtract 622 from both sides:
13x = 50
Finally, we can divide both sides by 13 to solve for x:
x = 50/13