How do I solve for x?
I know that the answer is x=1, but I don't know how to get there
3/x=6/(x+1)
+118609 $$\frac{3}{x}=\frac{6}{(x+1)}$$
You should notice straight of that x cannot be 0 or -1 (because you cannot divide by 0)
Now, to get rid of all the fractions, multiply both sides by x(x+1)
$$\\x(x+1)*\frac{3}{x}=\frac{6}{(x+1)}*x(x+1)\\\\
3(x+1)=6x\\\\
3x+3=6x\\\\
$subtract 3x from both sides$\\\\
3=3x\\\\
$divide both sides by 3$\\\\
x=1$$
+118609 $$\frac{3}{x}=\frac{6}{(x+1)}$$
You should notice straight of that x cannot be 0 or -1 (because you cannot divide by 0)
Now, to get rid of all the fractions, multiply both sides by x(x+1)
$$\\x(x+1)*\frac{3}{x}=\frac{6}{(x+1)}*x(x+1)\\\\
3(x+1)=6x\\\\
3x+3=6x\\\\
$subtract 3x from both sides$\\\\
3=3x\\\\
$divide both sides by 3$\\\\
x=1$$
