Question

2xminus5​(xminus4​)equalsminus2plus3xplus 10

Answer 1

To solve the equation \( 2x - 5(x - 4) = -2 + 3x + 10 \), let's simplify both sides step by step.

### Step 1: Simplify the left side
Starting with the left-hand side:
\[
2x - 5(x - 4)
\]
Distributing \(-5\):
\[
2x - 5x + 20
\]
Combining like terms:
\[
-3x + 20
\]

### Step 2: Simplify the right side
Now simplifying the right-hand side:
\[
-2 + 3x + 10
\]
Combine the constants:
\[
3x + 8
\]

### Step 3: Set the equation
Now we have the simplified equation:
\[
-3x + 20 = 3x + 8
\]

### Step 4: Solve for \( x \)
Add \( 3x \) to both sides:
\[
20 = 6x + 8
\]
Next, subtract \( 8 \) from both sides:
\[
12 = 6x
\]
Now divide by \( 6 \):
\[
x = 2
\]

### Conclusion
The value of \( x \) is:
\[
\boxed{2}
\]