Question

solving the equation for x
in order from the first step through finding the value of x
.

4−2x=−5(x+7)

Answer 1

To solve the equation \( 4 - 2x = -5(x + 7) \), we will follow these steps in order:

### Step 1: Distribute on the right side
Distribute \(-5\) across \((x + 7)\):
\[
-5(x + 7) = -5x - 35
\]
So the equation becomes:
\[
4 - 2x = -5x - 35
\]

### Step 2: Get all terms involving \(x\) on one side
Add \(5x\) to both sides of the equation:
\[
4 - 2x + 5x = -35
\]
This simplifies to:
\[
4 + 3x = -35
\]

### Step 3: Isolate the term with \(x\)
Subtract \(4\) from both sides:
\[
3x = -35 - 4
\]
This simplifies to:
\[
3x = -39
\]

### Step 4: Solve for \(x\)
Divide both sides by \(3\):
\[
x = \frac{-39}{3}
\]
Simplifying gives:
\[
x = -13
\]

### Summary
The value of \(x\) is \(\boxed{-13}\).