Question

(x+4)/6-(9-7x)/15=-3

Answer 1

5(x+4)-2(9-7x)=3*(-10)
5x+20-18+14x=-30
19x=-32
x=-32/19=-1 13/19

Answer 2

(5(x+4)-2(9-7x))/30=-3 $\frac{5(x+4)-2(9-7x)}{30}=-3 \\ \frac{5x+20-18+14x}{10} =-1 \\ 19x+2 =-10 \\ 19x=-10-2 \\ 19x=-12 \\ x= \frac{-12}{19}$

Answer 3

To solve the equation:

(x + 4)/6 - (9 - 7x)/15 = -3

Let's simplify the equation step by step:

First, we'll clear the fractions by multiplying every term by the least common multiple (LCM) of the denominators, which is 30:

30 * [(x + 4)/6] - 30 * [(9 - 7x)/15] = 30 * (-3)

Simplifying further:

5(x + 4) - 2(9 - 7x) = -90

Now, distribute and simplify:

5x + 20 - 18 + 14x = -90

Combine like terms:

19x + 2 = -90

Subtract 2 from both sides:

19x = -92

Finally, divide both sides by 19 to isolate x:

x = -92/19

Therefore, the solution to the equation is:

x ≈ -4.842