# Solve for x (3x)/2-x=x/6-4/3

Simplify .
To write as a fraction with a common denominator, multiply by .
Simplify terms.
Combine and .
Combine the numerators over the common denominator.
Simplify the numerator.
Factor out of .
Factor out of .
Factor out of .
Factor out of .
Multiply by .
Subtract from .
Multiply by .
Move all terms containing to the left side of the equation.
Subtract from both sides of the equation.
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 .
Combine the numerators over the common denominator.
Simplify the numerator.
Move to the left of .
Subtract from .
Cancel the common factor of and .
Factor out of .
Cancel the common factors.
Factor out of .
Cancel the common factor.
Rewrite the expression.
Since the expression on each side of the equation has the same denominator, the numerators must be equal.
Solve for x (3x)/2-x=x/6-4/3

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