3.8-x/2.5=4.16

Question

solve for x

Answer 1

To solve the equation \( \frac{3.8 - x}{2.5} = 4.16 \), follow these steps:

1. Multiply both sides by \( 2.5 \) to eliminate the denominator:

   \[ 3.8 - x = 4.16 \times 2.5 \]

2. Calculate \( 4.16 \times 2.5 \):

   \[ 4.16 \times 2.5 = 10.4 \]

   Now the equation is:

   \[ 3.8 - x = 10.4 \]

3. Subtract \( 3.8 \) from both sides:

   \[ -x = 10.4 - 3.8 \]

4. Calculate \( 10.4 - 3.8 \):

   \[ 10.4 - 3.8 = 6.6 \]

   Now the equation is:

   \[ -x = 6.6 \]

5. Multiply both sides by \( -1 \):

   \[ x = -6.6 \]

Therefore, the solution is:

\[ x = -6.6 \]