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

-(3x+8)=-3x-9

Solve the following equation for x x . Express your answer in the simplest form.\newline(3x+8)=3x9 -(3 x+8)=-3 x-9 \newline

Full solution

Q. Solve the following equation for x x . Express your answer in the simplest form.\newline(3x+8)=3x9 -(3 x+8)=-3 x-9 \newline
  1. Distribute negative sign: First, we need to distribute the negative sign on the left side of the equation.\newline(3x+8)=3x9- (3x + 8) = -3x - 9\newlineThis gives us: 3x8=3x9-3x - 8 = -3x - 9
  2. Add and isolate variable: Next, we observe that we have 3x-3x on both sides of the equation. If we add 3x3x to both sides, we can attempt to isolate the variable xx.\newline3x8+3x=3x9+3x-3x - 8 + 3x = -3x - 9 + 3x\newlineThis simplifies to: 8=9-8 = -9
  3. Identify contradiction: We now see that 8-8 does not equal 9-9, which indicates that there is no solution for xx that would satisfy this equation. This is because we have arrived at a contradiction.
  4. Conclude inconsistency: Since we have determined that there is no solution, we can conclude that the equation is inconsistent and does not have a value for xx that would make it true.

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