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Solve the following equation for 
x. Express your answer in the simplest form.

-2(5x+9)-4=4+5(-2x-5)

Solve the following equation for x x . Express your answer in the simplest form.\newline2(5x+9)4=4+5(2x5) -2(5 x+9)-4=4+5(-2 x-5) \newline

Full solution

Q. Solve the following equation for x x . Express your answer in the simplest form.\newline2(5x+9)4=4+5(2x5) -2(5 x+9)-4=4+5(-2 x-5) \newline
  1. Distribute terms: First, distribute the 2-2 across the (5x+9)(5x+9) and the 55 across the (2x5)(-2x-5). So, 2(5x+9)-2(5x+9) becomes 10x18-10x - 18, and 5(2x5)5(-2x-5) becomes 10x25-10x - 25.
  2. Write distributed equation: Now, write the equation with the distributed terms: 10x184=410x25-10x - 18 - 4 = 4 - 10x - 25.
  3. Combine like terms: Combine like terms on each side of the equation. On the left side, 18-18 and 4-4 combine to 22-22. On the right side, 44 and 25-25 combine to 21-21. So, the equation now is 10x22=10x21-10x - 22 = -10x - 21.
  4. Add xx terms: Next, add 10x10x to both sides to get the xx terms to cancel out.\newlineThis gives us 22=21-22 = -21, which doesn't make sense because we know 22-22 is not equal to 21-21.