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so what has happened in the example is that initially the equation -x + 3 = -2x + 5 so you need to solve for x the the checking part is using the solution to see if it makes sense this is done by replacing x in the original equation with 2 and seeing if it makes sense. hope that helps
so if you have the equation -x + 3 = -2x + 5 add 2x to both sides 2x 2x ------------------ x + 3 = 5 now subtract 3 from both sides -3 -3 ------------ x = 2 so that's the solution. Put it into the original equation -2 + 3 = -2x2 + 5 do the arithmetic 1 = 1 so the solution x = 2 is correct...
@campbell_st I'm so confused can you at least walk me through the first problem so I will understand what I've wasted 30 minutes on(I waste time a lot)
ok... so the equation is -x + 3 = -2x + 5 and you need to solve for x... any thoughts on the 1st step..?
or just post the 1st problem
Oh i just realizedthe pic i posted of my questions didnt go through @campbell_st
can you repost the question
yeah i was trying to upload the photo but its not working so I'm just gonna use the site
\[3x + 7 = 16 + 2x\]
ok... so any thoughts...?
My work for solving them was 1) 3x - 2x = 16 - 7 2) x= 16 - 7 3) x= 9
I solved the equation by myself before I came back on here but its the "Check" part that I'm confused about
ok.. so the solution is perfect... the check idea is to simply substitute your solution, x = 9 back into the original equation to see if its true \[does~~~3 \times 9 + 7 =16 + 2 \times 9\] if it does then you know your solution is right
@campbell_st thank you so much this makes way more sense now