Question

Solve for x in the equation 19x + rx = -37x + wx.

a) x = (rx - wx) / (19 + 37)
b) x = (19 - rx + wx) / 37
c) x = (19 + rx - wx) / (37 + 1)
d) x = (rx + wx - 19) / 37

Answer 1

To solve the equation 19x + rx = -37x + wx for x, follow these steps: subtract rx and wx from both sides, simplify the equation, add 37x to both sides, combine like terms, and divide by 56.

Step-by-step explanation:

To solve the equation 19x + rx = -37x + wx for x, we need to get all the terms with x on one side of the equation and all the constants on the other side. Here are the steps:

1. Subtract rx and wx from both sides of the equation: 19x + rx - rx - wx = -37x + wx - rx - wx
2. Simplify the equation by combining like terms: 19x = -37x -18wx
3. Add 37x to both sides of the equation: 19x + 37x = -18wx
4. Combine like terms: 56x = -18wx
5. Divide both sides of the equation by 56: x = -18wx / 56

So, the correct answer is x = -18wx / 56.