# Solve for x (x+1)/2-(x+2)/3=(x+3)/4

Move to the left side of the equation by subtracting it from both sides.
Simplify .
To write as a fraction with a common denominator, multiply by .
To write as a fraction with a common denominator, multiply by .
Write each expression with a common denominator of , by multiplying each by an appropriate factor of .
Multiply and .
Multiply by .
Multiply and .
Multiply by .
Combine the numerators over the common denominator.
Simplify the numerator.
Apply the distributive property.
Move to the left of .
Multiply by .
Apply the distributive property.
Multiply by .
Apply the distributive property.
Multiply by .
Multiply by .
Subtract from .
Subtract from .
To write as a fraction with a common denominator, multiply by .
To write as a fraction with a common denominator, multiply by .
Write each expression with a common denominator of , by multiplying each by an appropriate factor of .
Multiply and .
Multiply by .
Multiply and .
Multiply by .
Combine the numerators over the common denominator.
Simplify the numerator.
Apply the distributive property.
Move to the left of .
Multiply by .
Apply the distributive property.
Multiply by .
Apply the distributive property.
Multiply by .
Multiply by .
Subtract from .
Subtract from .
Simplify with factoring out.
Factor out of .
Rewrite as .
Factor out of .
Simplify the expression.
Rewrite as .
Move the negative in front of the fraction.
Since this is the only denominator in the list, the result is the LCD: .
Multiply each term by and simplify.
Multiply each term in by .
Simplify .
Cancel the common factor of .
Move the leading negative in into the numerator.
Cancel the common factor.
Rewrite the expression.
Apply the distributive property.
Multiply by .
Multiply by .
Add to both sides of the equation.
Multiply each term in by
Multiply each term in by .
Multiply .
Multiply by .
Multiply by .
Multiply by .
Solve for x (x+1)/2-(x+2)/3=(x+3)/4
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