SOLUTION: Is -4 a solution to the equation 8x-6+3x=5+2x-10

Algebra ->  Equations -> SOLUTION: Is -4 a solution to the equation 8x-6+3x=5+2x-10      Log On


   

Question 111283: Is -4 a solution to the equation 8x-6+3x=5+2x-10
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
Plug in x=+-4 and see if the left side of equation is equal to the right side of equation
8x+-+6+%2B+3x+=+5+%2B+2x+-10
8%28-4%29+-+6+%2B+3%28-4%29++=+5+%2B+2%28-4%29+-10
-32+-+6+-+12++=+5+%2B+-+8+-10
-50+++=++-13………..so, your answer is NO, -4 is not a solution

now we can find a solution:

8x+-+6+%2B+3x+=+5+%2B+2x+-10....move 2x to the left and 6 to the right
8x+-+2x+%2B+3x+=+5+%2B+6+-10
9x+=+1…………divide both sides by 9
x+=+1%2F9…………this is a solution to the equation 8x+%96+2x%2B+3x+=+5+%2B+6+-10