Question

Subtract 5x from each side to rewrite the equation.
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:

\[
-5 \neq -3
\]

This means the first equation has no solution.