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Solve and check the following equation. (3x+57)/(7)+(x+40)/(6)=16

User Tom Burman
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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

User Simpleton
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