To solve the equation 2/5 + 3x/5 = (x + 5)/10, we can follow these steps:
- Eliminate the fractions: To make the equation easier to work with, we can eliminate the fractions by multiplying every term by 10, which is the least common multiple of the denominators (5 and 10).
- This gives us:
- 10 * (2/5) + 10 * (3x/5) = 10 * ((x + 5)/10)
- Simplifying the equation:
- 10 * (2/5) = 4
- 10 * (3x/5) = 6x
- 10 * ((x + 5)/10) = x + 5
- So now the equation becomes:
- 4 + 6x = x + 5
- Rearranging the equation: To isolate x, we can move the ‘x’ term to one side and the constant to the other:
- 6x – x = 5 – 4
- This simplifies to:
- 5x = 1
- Solving for x: Finally, divide both sides by 5:
- x = 1/5
Therefore, the solution to the equation 2/5 + 3x/5 = (x + 5)/10 is x = 1/5.