Answer:
x=44
Explanation:
x32=10+x/2
Multiply the 2 from x over 2 to reverse the division equation.
2*x32=10+x/2*2
That results in 2 multiplying 32x and 2 multiplying the 2 in x over 2.
Because multiplication is the reverse of division, the 2's will cancel out and reduce x over to 2 to simply x.
2*32 is 64, include the x before the 64 just like the given equation exemplifies with the x before the 32.
The equation looks like the following once put together: x64=10+x
Subtract the x from the 10+x side of the equation underneath the x64.
x64=10+x
-x -x
Which equals x63=10.
To receive the answer to this question, you have to divide the 63 on both sides.
63 divided by 63x leaves you with just the x.
63 divided by 10 leaves you with 6.3 in decimal form.
Thus, x equals 6.3.
To check if it's right, insert 6.3 for both x's.
(6.3)*32=10+(6.3)/2
Solve.
201.6=10+3.15
201.6=13.15
Clearly, this doesn't work.
So, I'm assuming you actually meant: 32=10+x/2.
Hence, you would multiply 2 on both sides.
2*32=10+x/2*2
We've established that 32*2 is 64 and the 2's would cancel out.
64=10+x
Subtract the 10 on both sides.
54=x
To see if this one is correct, plug in 54 to the x.
32=10+(54)/2
Divide 54 by 2 which equals 27.
32=10+27
32=37
Nope, that doesn't work either.
Thus, instead of multiplying by 2, we would first need to subtract the 10.
32=10+x/2
-10 -10
32-10 is 22 and it would leave the other side with just x over 2.
22=x/2
Now, we would have to multiply the 2 on both sides.
22*2=44 and x/2*2 gives us x.
So, 44=x.
Let's check.
32=10+(44)/2
32=10+22
32=32
Finally, we have our match.
In conclusion, x=44.
Hope this helps.