SOLUTION: Solve by frist eliminating the decimal numbers. 0.5x + 3.4 = 2.0x + 12.4

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Question 4148: Solve by frist eliminating the decimal numbers.
0.5x + 3.4 = 2.0x + 12.4

Found 2 solutions by ntnk, solver15:
Answer by ntnk(54) About Me  (Show Source):
You can put this solution on YOUR website!
0.5x+%2B+3.4+=+2.0x+%2B+12.4
To solve this with whole numbers, first multiply each number in the equation by 10. It then becomes:
5x+%2B+34+=+20x+%2B+124
Now, subtract 34 from each side.
5x+%2B+34+-+34+=+20+x+%2B+124+-+34
Simplify. It then becomes:
5x+=+20x+%2B+90
Now, to isolate the variable alone on the left, subtract 20x from both sides.
5x+-+20x+=+20x+%2B+90+-+20x
It then becomes:
-15x+=+90
Now, divide each side by -15:
%28-15x%29%2F%28-15%29+=+90%2F-15
The answer is:
x=-6
Check:
.5%28-6%29+%2B+3.4+=+2%28-6%29+%2B+12.4
-3+%2B+3.4+=+-12+%2B+12.4
.4+=+.4

Solved By: NtNk


Answer by solver15(27) About Me  (Show Source):
You can put this solution on YOUR website!
0.5x + 3.4 = 2.0x + 12.4
-0.5x -0.5x
3.4=1.5x+12.4
-12.4 -12.4
-9=1.5x
and then divide by 1.5
-9/1.5=1.5x/1.5
-6=x