x/3 = x+10/6

it would read as x over 3 = x plus 10 over 6

I have no idea what I am doing with this one, can someone point me in the right direction. I need to solve the porportion

x/3 = x + 10/6

x/3 - x = 10/6
x(1/3 - 1) = 10/6
x = (10/6)/(1/3-1)

Simon, you have some major errors.

x/3=(x+10)/6
multipy both sides by 6
2x=x+10
x=10

thank you both

bobpursley, it's a matter of parenthesis.

To solve the proportion x/3 = (x+10)/6, we can start by cross-multiplying. Cross-multiplication is a method that involves multiplying the numerator of one fraction with the denominator of the other fraction, and then setting the two products equal to each other.

In this case, we can cross multiply as follows:

6 * x = 3 * (x + 10)

Now, let's simplify both sides of the equation:

6x = 3x + 30

To solve for x, we need to isolate the x term. We can start by moving the 3x term to the other side by subtracting 3x from both sides of the equation:

6x - 3x = 3x - 3x + 30

This simplifies to:

3x = 30

Finally, to solve for x, we divide both sides of the equation by 3:

(3x)/3 = 30/3

This gives us:

x = 10

Therefore, the solution to the proportion x/3 = (x+10)/6 is x = 10.