Decide whether each statement is true or false. The solution set ...

Question

Decide whether each statement is true or false. The solution set of 2x+5=x -3 is {-8}.

Accepted Answer

Hello everyone. We were asked for the statement below right. If it is true or false, the statement we're given is the equation six x plus eight equals three x minus seven. Has a solution set as negative five. So there are two ways we could go about this, we could solve the equation and find out what we get for X equals or we can plug the solution set in for X. I'm going to plug X equals negative five in. So if this is our solution X equals negative five. If this is a true statement we're going to get that the left hand and right hand sides equal each other. So we're gonna substitute that in. So six times negative five plus eight. We'll have to equal three times negative 5 -7. And if that doesn't work out this is not a true statement. So six times negative five is negative 30 plus eight. And on the right hand side three times negative five is negative 15 minus seven, negative 30 plus eight is negative 22. And on my right hand side negative 15 -7 is also negative 22. So since negative 22 does equal negative 22 negative five is the solution set for this statement or this equation. So the statement, the equation six x plus eight equals three, x minus seven has a solution set of negative five is answer choice a true have a nice day

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Decide whether each statement is true or false. The solution set of 2x+5=x -3 is {-8}.