Question

2*(3 3/5 -x) +5 1/5=7 2/3​

Answer 1

$2\cdot (3\frac{3}{5}-x)+5\frac{1}{5}=7\frac{2}{3}\\\\2\cdot (\frac{18}{5}-x)+\frac{26}{5}= \frac{23}{3}\\\\2\cdot (\frac{18}{5}-x)=\frac{37}{15}\\\\\frac{18}{5}-x=\frac{37}{30}\\\\x=\frac{18}{5}-\frac{37}{30}\\\\x=\frac{71}{30}$

Answer 2

To solve the equation 2(3 3/5 - x) + 5 1/5 = 7 2/3, you can follow these steps:

Step 1: Simplify the mixed numbers on both sides of the equation:

3 3/5 = 5/5 + 3/5 = 8/5 5 1/5 = 5/5 + 1/5 = 6/5 7 2/3 = 6/3 + 2/3 = 8/3

Now, the equation becomes:

2(8/5 - x) + 6/5 = 8/3

Step 2: Distribute the 2 on the left side of the equation:

(2 * 8/5) - (2 * x) + 6/5 = 8/3

Step 3: Simplify further:

(16/5) - (2x) + 6/5 = 8/3

Step 4: Subtract 6/5 from both sides of the equation to isolate the terms containing x:

(16/5) - (2x) = 8/3 - 6/5

Step 5: Find a common denominator on the right side and subtract:

(16/5) - (2x) = (40/15) - (18/15)

Step 6: Continue to simplify the right side:

(16/5) - (2x) = (22/15)

Step 7: To get rid of the fractions, you can multiply both sides of the equation by the least common multiple (LCM) of 5 and 15, which is 15:

15 * [(16/5) - (2x)] = 15 * (22/15)

Step 8: Distribute the 15 on both sides:

(15 * 16/5) - (15 * 2x) = 22

Step 9: Simplify further:

48 - 30x = 22

Step 10: Now, isolate the term containing x by subtracting 48 from both sides:

-30x = 22 - 48

-30x = -26

Step 11: Finally, solve for x by dividing both sides by -30:

x = (-26) / (-30)

x = 13/15

So, the solution to the equation is:

x = 13/15