SOLUTION: 1) a 1) given equation 2) 2x=2(5x+8) 2)b 3) c 3)distributive property of equality 4) 0=8x+16 4)d 5) e 5)subtraction property of equality

Algebra ->  Geometry-proofs -> SOLUTION: 1) a 1) given equation 2) 2x=2(5x+8) 2)b 3) c 3)distributive property of equality 4) 0=8x+16 4)d 5) e 5)subtraction property of equality      Log On


   



Question 1046901: 1) a 1) given equation
2) 2x=2(5x+8) 2)b
3) c 3)distributive property of equality
4) 0=8x+16 4)d
5) e 5)subtraction property of equality
6) -2=x 6)f
7) g 7)symmetric property
please fill in the letters (starting from d) , I'm SO confused, my mother, my father and I have all attempted this, but letters after d and so on have confused us.......

Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
I really cannot follow your listing:
1) a            1) given equation
2) 2x=2(5x+8)   2)b
3) c            3)distributive property of equality
4) 0=8x+16      4)d
5)  e           5)subtraction property of equality
6) -2=x         6)f
7)   g          7)symmetric property


Your equation starts as 2x=2%285x%2B8%29, and maybe you want to solve for x. More than one way to do.

DISTRIBUTIVE PROP. 2x=10x%2B16

Be careful about "Subtraction Property of Equality", because none is.

Try ADDITIVE INVERSE, and ADDITION PROPERTY OF EQUALITY.
2x%2B%28-10x%29=10x%2B16%2B%28-10x%29
which basically means the same as
2x-10x=10x%2B16-10x
-8x=16

Next you need MULTIPLICATION PROPERTY OF EQUALITY.
-8x%28-1%2F8%29=16%28-1%2F8%29
x=-2
DONE.