Question

3 (x+1)/8+2 (5-x)/3=16-13x/12

Answer 1

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Answer 2

3*3(x+1)+8*2(5-x)=2(16-13x)
9(x-1)+16(5-x)=32-26x
9x+9+80-16x=32-26x
9x-16x+26x=32-80-9
19x=-57
x=-3

Answer 3

To solve this equation, we will first simplify both sides by multiplying through by the least common multiple of the denominators of all the fractions. In this case, the least common multiple of 8, 3, and 12 is 24.

So, we multiply both sides by 24 to get:

9(x+1) + 16(5-x) = 16(24) - 13x

Now we will simplify and solve for x:

9x + 9 + 80 - 16x = 384 - 13x

-7x + 89 = 384 - 13x

6x = 295

x = 295/6

Therefore, the solution to the equation is x = 49.1667 (rounded to 4 decimal places).