2x - 49 + 5 = 0
Understand the Problem
The question is asking us to solve the linear equation 2x - 49 + 5 = 0. This involves isolating the variable x to find its value.
Answer
The solution to the equation is \( x = 22 \).
Answer for screen readers
The final answer is ( x = 22 ).
Steps to Solve
- Combine like terms
First, we simplify the equation by combining the constants on the left side. The equation is:
$$ 2x - 49 + 5 = 0 $$
Combining -49 and +5 gives us:
$$ 2x - 44 = 0 $$
- Isolate the variable
Next, we want to isolate the variable $x$. We do this by adding 44 to both sides of the equation:
$$ 2x - 44 + 44 = 0 + 44 $$
This simplifies to:
$$ 2x = 44 $$
- Solve for x
Finally, we divide both sides of the equation by 2 to solve for $x$:
$$ x = \frac{44}{2} $$
This gives us:
$$ x = 22 $$
The final answer is ( x = 22 ).
More Information
The value of ( x = 22 ) means that this is the solution to the linear equation ( 2x - 49 + 5 = 0 ). This type of equation represents a straight line when graphed, and the solution indicates the point where the line intersects the x-axis.
Tips
- Miscalculating when combining like terms, such as forgetting to change the sign of the constant.
- Not isolating the variable correctly by incorrectly moving terms to the other side of the equation.
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