Subtract 4x from each side to rewrite the equation.

Question

4(x−2) = 4x−6
4x − 8 = 4x − 6
−4x = −4x
? = ?

Answer 1

Let's start with the equation you provided:

\[ 4(x - 2) = 4x - 6 \]

First, distribute the 4 on the left side:

\[ 4x - 8 = 4x - 6 \]

Now, you want to subtract \( 4x \) from each side of the equation:

\[ 4x - 8 - 4x = 4x - 6 - 4x \]

This simplifies to:

\[ -8 = -6 \]

This statement is not true, which means there are no solutions to the original equation. The process shows that both sides of the equation are equal to different constant values after simplifying.

So, to answer your question: \(-8 \neq -6\), the conclusion is that there are no values of \(x\) that can satisfy the equation.