Solve for the value of x.

Add 2x to both sides of the equation and rewrite the remaining values.
−2x + 5
=
4x − 7
+
2x
+
2x

=

1 answer

To solve the equation, we need to start from the equation given and add \(2x\) to both sides. The equation is:

\[ -2x + 5 = 4x - 7 \]

Now, let's add \(2x\) to both sides:

\[ -2x + 2x + 5 = 4x + 2x - 7 \]

This simplifies to:

\[ 5 = 6x - 7 \]

Next, we can isolate \(x\) by adding \(7\) to both sides:

\[ 5 + 7 = 6x \]

This gives:

\[ 12 = 6x \]

Now, to solve for \(x\), divide both sides by \(6\):

\[ x = \frac{12}{6} = 2 \]

Therefore, the value of \(x\) is:

\[ \boxed{2} \]