Question

Solve for the value of x.
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 \(-2x + 5 = 4x - 7 + 2x + 2x\), let's simplify and isolate \(x\).

1. Start with the original equation:

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

2. Combine like terms on the right side:

\[
4x + 2x + 2x = 8x
\]

Therefore, the equation simplifies to:

\[
-2x + 5 = 8x - 7
\]

3. Next, let's get all \(x\) terms on one side and constant terms on the other side. Add \(2x\) to both sides:

\[
5 = 8x + 2x - 7
\]

Which simplifies to:

\[
5 = 10x - 7
\]

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

\[
5 + 7 = 10x
\]

This gives us:

\[
12 = 10x
\]

5. Finally, divide both sides by \(10\):

\[
x = \frac{12}{10} = \frac{6}{5}
\]

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

\[
\boxed{\frac{6}{5}}
\]