5x minus 3 equals 13 minus 3x

$$5x-3=13-3x$$

Move the unknown numbers to one side and the known numbers to the other.

$$5x+3x=13+3$$

Add the two unknown numbers.

$$5x+3x=8x$$

Add the two known numbers.

$${\mathtt{13}}{\mathtt{\,\small\textbf+\,}}{\mathtt{3}} = {\mathtt{16}}$$

Divide the total of the known numbers using the unknown numbers.

$${\frac{{\mathtt{16}}}{{\mathtt{8}}}} = {\mathtt{2}}$$

And you're done!

To solve the problem, change $$x$$ into 2.

$$5x-3=13-3x\Rightarrow5*2-3=13-3*2$$

Now, multiply from both sides.

$$5*2=10$$

$$3*2=6$$

Now,  combine the equation.

$$10-3=13-6$$

Now, subtract from both sides.

$$10-3=7$$

$$13-6=7$$

Now, compare both answers.

$$7=7$$

As we can see, the answer is correct.

So, the answer is $$\boxed{x=2}$$.

Hope that this helps!