Question

Solve the equation. Check your solution.
6 plus 5 q equals 7 plus 4 q
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Part 1
qequals
  
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Answer 1

To solve the equation \( 6 + 5q = 7 + 4q \), follow these steps:

1. Start with the original equation:
\[
6 + 5q = 7 + 4q
\]

2. Subtract \( 4q \) from both sides:
\[
6 + 5q - 4q = 7 + 4q - 4q
\]
which simplifies to:
\[
6 + q = 7
\]

3. Next, subtract 6 from both sides:
\[
q = 7 - 6
\]
which simplifies to:
\[
q = 1
\]

So, the solution is \( q = 1 \).

### Checking the Solution

Substitute \( q = 1 \) back into the original equation:

Left side:
\[
6 + 5(1) = 6 + 5 = 11
\]

Right side:
\[
7 + 4(1) = 7 + 4 = 11
\]

Since both sides are equal (11 = 11), our solution is verified.

Thus, the final answer is:
\[
q = 1
\]