Questions: 1 / 5 x+4=11/10(-7 x+5)

Solution Steps

To solve the equation \( \frac{1}{5}x + 4 = \frac{11}{10}(-7x + 5) \), we need to follow these steps:

1. Distribute the constants on both sides of the equation.
2. Combine like terms to isolate the variable \( x \).
3. Solve for \( x \).

First, distribute the constants on both sides of the equation: \[ \frac{1}{5}x + 4 = \frac{11}{10}(-7x + 5) \] This simplifies to: \[ 0.2x + 4 = 5.5 - 7.7x \]

Next, combine like terms to isolate the variable \( x \): \[ 0.2x + 7.7x = 5.5 - 4 \] \[ 7.9x = 1.5 \]

Finally, solve for \( x \) by dividing both sides by 7.9: \[ x = \frac{1.5}{7.9} \approx 0.1899 \]

Final Answer