Q. Solve the following equation for x. Express your answer in the simplest form.−(3x+8)=−3x−9
Distribute negative sign: First, we need to distribute the negative sign on the left side of the equation.−(3x+8)=−3x−9This gives us: −3x−8=−3x−9
Add and isolate variable: Next, we observe that we have −3x on both sides of the equation. If we add 3x to both sides, we can attempt to isolate the variable x.−3x−8+3x=−3x−9+3xThis simplifies to: −8=−9
Identify contradiction: We now see that −8 does not equal −9, which indicates that there is no solution for x that would satisfy this equation. This is because we have arrived at a contradiction.
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 x that would make it true.
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