Question

Solve the radical equation
−
7
x
+
4
=
16
−
x
−7x+4
​
=
16−x
​
.



x
=
x=

Answer 1

To solve the equation \(-7x + 4 = 16 - x\), we can start by isolating \(x\).

1. First, let's rearrange the equation to combine like terms. We can move \(-x\) to the left side:

\[
-7x + x + 4 = 16
\]

This simplifies to:

\[
-6x + 4 = 16
\]

2. Next, we can isolate the term with \(x\) by subtracting 4 from both sides:

\[
-6x = 16 - 4
\]

\[
-6x = 12
\]

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

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

\[
x = -2
\]

Thus, the solution to the equation is:

\[
\boxed{-2}
\]