Solve for x: -19 = -5x - 4
Understand the Problem
The question requires us to solve for x in the given linear equation. We will isolate x by performing algebraic operations on both sides of the equation.
Answer
$x = 3$
Answer for screen readers
$x = 3$
Steps to Solve
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Add 4 to both sides of the equation To isolate the term with $x$, add 4 to both sides of the equation: $$ -19 + 4 = -5x - 4 + 4 $$ $$ -15 = -5x $$
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Divide both sides by -5 To solve for $x$, divide both sides of the equation by -5: $$ \frac{-15}{-5} = \frac{-5x}{-5} $$ $$ 3 = x $$
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Final Answer Therefore, the solution is $ x = 3 $
$x = 3$
More Information
The solution to the equation $-19 = -5x - 4$ is $x = 3$.
Tips
A common mistake is to add 4 to only one side of the equation, which would violate the equality. Remember to perform the same operation on both sides to maintain balance. Another common mistake is to incorrectly perform the integer arithmetic.
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