3x-1/5-2/9x=124/5 simplified by combining like terms are 3x and -2/9x

Question

now isolate the variable term by adding this value to both sides of the equation and its 1/5 now multiply by this number to make the coeffecient of the variable 1: 9/25 or 3 or 25/9

Answer 1

Let's simplify and solve the equation step by step:

1. Start with the original equation:

   \[ 3x - \frac{1}{5} - \frac{2}{9}x = \frac{124}{5} \]

2. Combine like terms. The terms containing \(x\) are \(3x\) and \(-\frac{2}{9}x\). To combine these, we need a common denominator. The least common multiple of the denominators \(1\) and \(9\) is \(9\):

   \[ 3x = \frac{27}{9}x \]

   Now we can combine:

   \[ \frac{27}{9}x - \frac{2}{9}x = \frac{27 - 2}{9}x = \frac{25}{9}x \]

   So, we can rewrite the equation as:

   \[ \frac{25}{9}x - \frac{1}{5} = \frac{124}{5} \]

3. Next, let's isolate the variable term by adding \(\frac{1}{5}\) to both sides:

   \[ \frac{25}{9}x = \frac{124}{5} + \frac{1}{5} \]

   \[ \frac{25}{9}x = \frac{124 + 1}{5} = \frac{125}{5} = 25 \]

4. Now, to isolate \(x\), we multiply both sides of the equation by the reciprocal of \(\frac{25}{9}\), which is \(\frac{9}{25}\):

   \[ x = 25 \cdot \frac{9}{25} \]

   \[ x = 9 \]

So the solution to the equation is:

\[ \boxed{9} \]

Answer 2

ITS 3x and -2/9x THEN 1/5 AND 9/25

Answer 3

Got it! Let's retake the equation \(3x - \frac{1}{5} - \frac{2}{9}x = \frac{124}{5}\) and simplify it step by step using the terms you've highlighted: \(3x\), \(-\frac{2}{9}x\), along with \( -\frac{1}{5} \).

Step 1: Combine Like Terms

Starting with the equation:

\[ 3x - \frac{2}{9}x - \frac{1}{5} = \frac{124}{5} \]

1. Convert \(3x\) to the same denominator (\(9\)): \[ 3x = \frac{27}{9}x \]

2. Now combine \( \frac{27}{9}x\) and \(-\frac{2}{9}x\): \[ \frac{27}{9}x - \frac{2}{9}x = \frac{25}{9}x \]

So the equation simplifies to: \[ \frac{25}{9}x - \frac{1}{5} = \frac{124}{5} \]

Step 2: Isolate the Variable

Next, we add \(\frac{1}{5}\) to both sides of the equation: \[ \frac{25}{9}x = \frac{124}{5} + \frac{1}{5} \] This simplifies to:

\[ \frac{25}{9}x = \frac{124 + 1}{5} = \frac{125}{5} = 25 \]

Step 3: Solve for \(x\)

Now we need to isolate \(x\) by multiplying both sides by the reciprocal of \(\frac{25}{9}\), which is \(\frac{9}{25}\):

\[ x = 25 \cdot \frac{9}{25} \]

The \(25\) in the numerator and denominator cancel out, giving: \[ x = 9 \]

Conclusion

So, the final solution is: \[ \boxed{9} \]

If you're referring to another way of representing the coefficient or the operation regarding \(1/5\) and \(9/25\), please clarify!