The equation provided in the image is:

$4x + 7 = 5x + 11$

Let's solve for $x$.

Step-by-Step Solution:

1. Subtract $4x$ from both sides to isolate terms involving $x$ on one side: $4x + 7 - 4x = 5x + 11 - 4x \implies 7 = x + 11$

2. Subtract 11 from both sides to solve for $x$: $7 - 11 = x + 11 - 11 \implies -4 = x$

3. Thus, the solution is: $x = -4$

Conclusion:

The value of $x$ that satisfies the equation $4x + 7 = 5x + 11$ is $-4$.

Would you like further details on this solution, or do you have any questions?

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Tip:

When solving linear equations, always aim to isolate the variable on one side by performing the same operation on both sides of the equation.