Question

Solve for x: 8x - 5 = 3x + 20.
x = __

Answer 1

are you sure this is correct

Answer 2

To solve the equation \( 8x - 5 = 3x + 20 \), we can start by isolating the variable \( x \).

1. Subtract \( 3x \) from both sides:
\[
8x - 3x - 5 = 20
\]
This simplifies to:
\[
5x - 5 = 20
\]

2. Next, add \( 5 \) to both sides:
\[
5x - 5 + 5 = 20 + 5
\]
This simplifies to:
\[
5x = 25
\]

3. Finally, divide both sides by \( 5 \):
\[
x = \frac{25}{5}
\]
Thus,
\[
x = 5
\]

The solution is \( x = 5 \).

Answer 3

Yes, let's double-check the calculation step by step to confirm the solution is correct.

Starting with the original equation:
\[
8x - 5 = 3x + 20
\]

1. Subtract \( 3x \) from both sides:
\[
8x - 3x - 5 = 20
\]
This simplifies to:
\[
5x - 5 = 20
\]

2. Now add \( 5 \) to both sides:
\[
5x - 5 + 5 = 20 + 5
\]
This simplifies to:
\[
5x = 25
\]

3. Finally, divide both sides by \( 5 \):
\[
x = \frac{25}{5}
\]
Thus, this gives:
\[
x = 5
\]

To verify, let's plug \( x = 5 \) back into the original equation:
Left-hand side:
\[
8(5) - 5 = 40 - 5 = 35
\]
Right-hand side:
\[
3(5) + 20 = 15 + 20 = 35
\]

Since both sides equal \( 35 \), the solution \( x = 5 \) is correct.