Q. Solve the following equation for x. Express your answer in the simplest form.−2(5x+9)−4=4+5(−2x−5)
Distribute terms: First, distribute the −2 across the (5x+9) and the 5 across the (−2x−5). So, −2(5x+9) becomes −10x−18, and 5(−2x−5) becomes −10x−25.
Write distributed equation: Now, write the equation with the distributed terms: −10x−18−4=4−10x−25.
Combine like terms: Combine like terms on each side of the equation. On the left side, −18 and −4 combine to −22. On the right side, 4 and −25 combine to −21. So, the equation now is −10x−22=−10x−21.
Add x terms: Next, add 10x to both sides to get the x terms to cancel out.This gives us −22=−21, which doesn't make sense because we know −22 is not equal to −21.