10) 1 5/7(x+3) = -2(1-x)

Solution:

• Convert mixed number to improper fraction:
  \( \frac{12}{7}(x+3) = -2(1-x) \)
• Distribute on both sides:
  \( \frac{12}{7}x + \frac{36}{7} = -2 + 2x \)
• Multiply by 7 to eliminate the fraction:
  \( 7 \cdot \frac{12}{7}x + 7 \cdot \frac{36}{7} = 7 \cdot (-2) + 7 \cdot 2x \)
  \( 12x + 36 = -14 + 14x \)
• Isolate x terms on one side and constants on the other:
  \( 36 + 14 = 14x - 12x \)
  \( 50 = 2x \)
• Solve for x:
  \( x = \frac{50}{2} \)
  \( x = 25 \)

Answer: x = 25