Solve for x: -4 = x + 6

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Understand the Problem

The question is asking us to solve the equation -4 = x + 6 for the variable x. This involves isolating x on one side of the equation.

Answer

$x = -10$
Answer for screen readers

The solution for $x$ is $-10$.

Steps to Solve

  1. Isolate x on one side

To isolate x, we need to eliminate the constant on the side with x. We'll do this by subtracting 6 from both sides of the equation.

$$ -4 - 6 = x + 6 - 6 $$

This simplifies to:

$$ -10 = x $$

  1. Rearrange the equation

Now, we can write the equation with x on the left side. This gives us:

$$ x = -10 $$

The solution for $x$ is $-10$.

More Information

The result means that if you substitute $-10$ back into the original equation $-4 = x + 6$, both sides will be equal, confirming that $x = -10$ is correct.

Tips

  • Forgetting to change the sign when moving terms across the equal sign. Always remember to perform the same operation on both sides to maintain the equality.
  • Miscalculating the subtraction. Double-check the basic arithmetic when solving.
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