2x + 30 = 11. Find x.

Understand the Problem

The question is asking to solve the algebraic equation 2x + 30 = 11 for the variable x.

Answer

The solution is $ x = -\frac{19}{2} $ or $ x = -9.5 $.

Steps to Solve

Isolate the variable term To solve for ( x ), we start by isolating the term with ( x ) on one side of the equation. We can do this by subtracting 30 from both sides:

$$ 2x + 30 - 30 = 11 - 30 $$

This simplifies to:

$$ 2x = -19 $$

Divide by the coefficient Next, we divide both sides by 2 to solve for ( x ):

$$ x = \frac{-19}{2} $$

This can also be expressed as:

$$ x = -9.5 $$

The value of ( x ) is ( x = -\frac{19}{2} ) or ( x = -9.5 ).

More Information

The solution ( x = -9.5 ) indicates that the value of ( x ) is negative, which can occur in various scenarios in real problems. It's important in algebra to recognize that solutions can be both positive and negative.

Tips

Forgetting to perform the same operation on both sides when isolating the variable can lead to incorrect solutions.
Miscalculating when dividing fractions, especially with negative numbers.

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