Subtract 5x from each side to rewrite the equation.

Question

5(x−1)
=
5x−3

5x − 5
=
5x − 3
−
5x
−
5x

=

Answer 1

To solve the equation $5(x-1)=5x-3$ by subtracting $5x$ from each side, you'll follow these steps:

Starting with the original equation:

$$5(x-1)=5x-3$$

Now, subtract $5x$ from both sides:

$$5(x-1)-5x=5x-3-5x$$

This simplifies to:

$$5(x-1)-5x=-3$$

Now, let’s simplify the left side further:

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

The $5x$ cancels out:

$$-5=-3$$

However, notice that $-5$ does not equal $-3$. This indicates that there are no solutions to the original equation.

Thus, after rewriting the equation and simplifying, we find:

$$-5\ne -3$$

This means the first equation has no solution.