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Solve the following:$0.5x+x÷3=0.25x+7$
Given :
The given expression is $0.5x+x÷3=0.25x+7$.
To do :
We have to find the value of x.
Solution :
We have to use the BODMAS method in these types of problems.
$0.5x+x÷3=0.25x+7$
$0.5x+(\frac{x}{3}) = 0.25x+7$
Multiply by 3 on both sides,
$3(0.5x)+3(\frac{x}{3}) = 3(0.25x)+3(7)$
$1.5x+x = 0.75x+21$
$2.5x = 0.75x+21$
$2.5x-0.75x = 21$
$1.75x = 21$
$x = \frac{21}{1.75}$
$x = \frac{21(100)}{1.75(100)}$
$x = \frac{2100}{175}$
$x = 12$
The value of x is 12.
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