Solve for x
x = \frac{331}{41} = 8\frac{3}{41} \approx 8.073170732
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7\left(3x+7\right)+4\left(5x-4\right)=364
Multiply both sides of the equation by 28, the least common multiple of 4,7.
21x+49+4\left(5x-4\right)=364
Use the distributive property to multiply 7 by 3x+7.
21x+49+20x-16=364
Use the distributive property to multiply 4 by 5x-4.
41x+49-16=364
Combine 21x and 20x to get 41x.
41x+33=364
Subtract 16 from 49 to get 33.
41x=364-33
Subtract 33 from both sides.
41x=331
Subtract 33 from 364 to get 331.
x=\frac{331}{41}
Divide both sides by 41.
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