Question

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Part 1
Solve the equation. Check your solution.
2xplus5xminus8equals20

Answer 1

To solve the equation \( 2x + 5x - 8 = 20 \), we first combine like terms on the left side of the equation:

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

So, we can rewrite the equation as:

\[
7x - 8 = 20
\]

Next, we isolate \( 7x \) by adding \( 8 \) to both sides:

\[
7x - 8 + 8 = 20 + 8
\]

This simplifies to:

\[
7x = 28
\]

Now, we solve for \( x \) by dividing both sides by \( 7 \):

\[
x = \frac{28}{7} = 4
\]

### Checking the Solution

We can substitute \( x = 4 \) back into the original equation to verify:

\[
2(4) + 5(4) - 8 = 20
\]

Calculating:

\[
8 + 20 - 8 = 20
\]
\[
20 = 20
\]

Since both sides of the equation are equal, our solution is correct.

Thus, the solution to the equation is:

\[
\boxed{4}
\]