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Pre-Algebra Examples
Step 1
The standard form of a linear equation is .
Step 2
Step 2.1
Multiply by to remove the decimal.
Step 2.2
Multiply by .
Step 2.3
Move the negative in front of the fraction.
Step 3
Step 3.1
Multiply by to remove the decimal.
Step 3.2
Multiply by .
Step 3.3
Cancel the common factor of and .
Step 3.3.1
Rewrite as .
Step 3.3.2
Cancel the common factors.
Step 3.3.2.1
Rewrite as .
Step 3.3.2.2
Cancel the common factor.
Step 3.3.2.3
Rewrite the expression.
Step 4
Step 4.1
Finding the LCD of a list of values is the same as finding the LCM of the denominators of those values.
Step 4.2
Since contains both numbers and variables, there are two steps to find the LCM. Find LCM for the numeric part then find LCM for the variable part .
Step 4.3
The LCM is the smallest positive number that all of the numbers divide into evenly.
1. List the prime factors of each number.
2. Multiply each factor the greatest number of times it occurs in either number.
Step 4.4
has factors of and .
Step 4.5
Multiply by .
Step 5
Multiply both sides by .
Step 6
Step 6.1
Simplify .
Step 6.1.1
Combine and .
Step 6.1.2
Apply the distributive property.
Step 6.1.3
Cancel the common factor of .
Step 6.1.3.1
Move the leading negative in into the numerator.
Step 6.1.3.2
Cancel the common factor.
Step 6.1.3.3
Rewrite the expression.
Step 6.1.4
Cancel the common factor of .
Step 6.1.4.1
Cancel the common factor.
Step 6.1.4.2
Rewrite the expression.
Step 7
Step 7.1
Add to both sides of the equation.
Step 7.2
Reorder and .
Step 8