SOLUTION: How do you solve this: 0.7(15)-x=0.6(15-x)

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Question 577382: How do you solve this: 0.7(15)-x=0.6(15-x)
Answer by Maths68(1474) About Me  (Show Source):
You can put this solution on YOUR website!
0.7%2815%29-x=0.6%2815-x%29
7%2815%29%2F10-x=6%2815-x%29%2F10
105%2F10-x=%2890-6x%29%2F10
%28105-10x%29%2F10=%2890-6x%29%2F10
%28105-10x%29%2Fcross%2810%29=%2890-6x%29%2Fcross%2810%29
105-10x=90-6x
-10x%2B6x=90-105
-4x=-15
-4x%2F-4=-15%2F-4
cross%28-4%29x%2Fcross%28-4%29=-15%2F-4
x=15%2F4
x=%283%263%2F4%29

Check
=====
0.7%2815%29-x=0.6%2815-x%29
Put x=15%2F4
0.7%2815%29-15%2F4=0.6%2815-15%2F4%29
7%2815%29%2F10-15%2F4=6%2815-15%2F4%29%2F10
105%2F10-15%2F4=6%28%2860-15%29%2F4%29%2F10
%28210-75%29%2F20=6%28%2845%29%2F4%29%2F10
135%2F20=6%2845%2F4%29%281%2F10%29
cross%28135%29%2Fcross%2820%29=6%2845%2F40%29
27%2F4=cross%286%29%2845%29%2Fcross%2840%29%29
27%2F4=3%2845%29%2F20%29%29
27%2F4=3%28cross%2845%29%29%2Fcross%2820%29
27%2F4=3%289%29%2F4
27%2F4=27%2F4

OR
0.7%2815%29-x=0.6%2815-x%29
10.5-x=9-0.6x%29
-x%2B0.6x=9-10.5%29
-0.4x=-1.5%29
Cancel out (-) from both sides
0.4x=1.5%29
0.4x%2F0.4=1.5%2F0.4%29
cross%280.4%29x%2Fcross%280.4%29=1.5%2F0.4%29
x=1.5%2F0.4%29
Multiply and Divide Right hand side by 10
x=%281.5%2F0.4%29%2810%2F10%29%29
again
x=15%2F4%29
or
x=3.75%29

Check
=====
0.7%2815%29-x=0.6%2815-x%29
Put x=3.75%29
0.7%2815%29-3.75=0.6%2815-3.75%29
10.5-3.75=9-2.25%29
6.75=6.75%29