The solution of 0.6(4-2x)=20.5-(3x+10) is x = 4.5
Solution:
Given, expression is 0.6 ( 4 – 2x ) = 20.5 – ( 3x + 10 )
We have to solve the above given equation for x.
Now, take the equation
[tex]\rightarrow 0.6(4-2 x)=20.5-(3 x+10)[/tex]
We have to use BODMAS rule. BODMAS means sequence of operations which is brackets, order, division, multiplication, addition and then subtraction
On solving the brackets, we get
[tex]\rightarrow 0.6 \times 4-0.6 \times 2 x=20.5-3 x-10[/tex]
Now multiplication is given preference
[tex]\rightarrow 2.4-1.2 x=10.5-3 x[/tex]
[tex]\rightarrow 3 x-1.2 x=10.5-2.4[/tex]
Now subtraction is done
[tex]\rightarrow 1.8 \mathrm{x}=8.1[/tex]
Now division is performed
[tex]\rightarrow x=\frac{8.1}{1.8}=4.5[/tex]
Hence, the value of x is 4.5
