SOLUTION: 5(x+1)-4(x+2)=-8 Any chance you could help me here Please show steps of working out for me.

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Question 849364: 5(x+1)-4(x+2)=-8
Any chance you could help me here Please show steps of working out for me.

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Wherever you have parentheses, always do
the work inside the parentheses first.
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If you have parentheses within parentheses,
work from the inside out.
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+5%2A%28+x%2B1+%29+-+4%2A%28+x%2B2+%29+=+-8+
There is nothing to do inside these parentheses
since they are in the simplest form possible.
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Use the distributive law to get rid of the parentheses
+5x+%2B+5+-+4x+-+8+=+-8+
Combine like terms. x's with x's and constants with constants
+5x+-+4x+%2B+5+-+8+=+-8+
+x+-+3+=+-8+
Add +3+ to both sides
+x+=+-5+
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To check the answer, plug it back into original equation
+5%2A%28+x%2B1+%29+-+4%2A%28+x%2B2+%29+=+-8+
+5%2A%28+-5%2B1+%29+-+4%2A%28+-5%2B2+%29+=+-8+
As I said, work inside the parentheses first
+5%2A%28+-4+%29+-+4%2A%28+-3+%29++=+-8+
+-20+-+%28+-12+%29+=+-8+
Note that a minus times a minus is a plus
+-20+%2B+12+=+-8+
+-8+=+-8+
OK