Question

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

=

Answer 1

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:

\[
\boxed{2}
\]