What integer is equal to x if 4x - 4 = -20?
Understand the Problem
The question is asking us to solve the equation 4x - 4 = -20 for the integer value of x. This involves isolating x by adding 4 to both sides and then dividing by 4.
Answer
The integer value of $x$ is $-4$.
Answer for screen readers
The integer value of $x$ is $-4$.
Steps to Solve
- Add 4 to both sides
Start by adding 4 to both sides of the equation to isolate the term with $x$: $$ 4x - 4 + 4 = -20 + 4 $$ This simplifies to: $$ 4x = -16 $$
- Divide by 4
Next, divide both sides of the equation by 4 to solve for $x$: $$ \frac{4x}{4} = \frac{-16}{4} $$ This simplifies to: $$ x = -4 $$
The integer value of $x$ is $-4$.
More Information
The equation illustrates a simple linear equation where we isolate the variable. It’s a foundational algebraic skill that helps in various mathematics applications.
Tips
- Forgetting to perform the same operation on both sides of the equation. Always ensure to maintain balance by doing the same operation.
- Miscalculating when dividing or adding/subtracting. Double-check your arithmetic to avoid errors.
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