i need help in this homework because i am taking geometry and i forget about algebra if u can help me please what are the steps in the solution for this given equation?
5(4+x)=32-x
Use the distributive principle, to remove the parentheses,
multiply the 5 by the 4 and then multiply the 5 by the x
20+5x=32-x
To get rid of the -x on the right, add +x to both sides
20+5x+x=32-x+x
On the left, combine the +5x and the +x and get +6x.
On the right, combine the -x and the +x and get 0
20+6x=32+0
add 32 and 0 and get 32
20+6x=32
They could have put in this step
20+6x-20=32-20,
Add -20 to both sides (or you could say "subtract 20 from both sides"
They could have put in this step
Use the commutative principle on the left to swap two terms
and combine terms on the right.
20-20+6x=12
They could have put in this step
20-20=0
0+6x=12
Then they could have put in this step:
adding 0 to anything gives that same thing
6x=12
Divide both sides by 6
Cancel the 6's on the left. Divide 12 by 6 on the right
x=2
Edwin