Question

Continue solving the equation to get x by itself. What is the value of x?
−2x + 5
=
4x − 7
+
2x
+
2x

5
=
6x−7

x
=

Answer 1

To solve the equation \(-2x + 5 = 6x - 7\), we will first simplify the equation.

Start with the original equation:

\[
-2x + 5 = 6x - 7
\]

Next, we will add \(2x\) to both sides to start isolating \(x\):

\[
5 = 6x + 2x - 7
\]

This simplifies to:

\[
5 = 8x - 7
\]

Now, add \(7\) to both sides:

\[
5 + 7 = 8x
\]

So we have:

\[
12 = 8x
\]

Now, divide both sides by \(8\):

\[
x = \frac{12}{8}
\]

This simplifies to:

\[
x = \frac{3}{2} \quad \text{or} \quad x = 1.5
\]

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

\[
\boxed{\frac{3}{2}} \quad \text{or} \quad \boxed{1.5}
\]