# Solve for x 10/(2x+1)+4/3=2

Move all terms not containing to the right side of the equation.

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Subtract from both sides of the equation.

To write as a fraction with a common denominator, multiply by .

Combine and .

Combine the numerators over the common denominator.

Simplify the numerator.

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Multiply by .

Subtract from .

Find the LCD of the terms in the equation.

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Finding the LCD of a list of values is the same as finding the LCM of the denominators of those values.

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.

The number is not a prime number because it only has one positive factor, which is itself.

Not prime

Since has no factors besides and .

is a prime number

The LCM of is the result of multiplying all prime factors the greatest number of times they occur in either number.

The factor for is itself.

occurs time.

The LCM of is the result of multiplying all factors the greatest number of times they occur in either term.

The Least Common Multiple of some numbers is the smallest number that the numbers are factors of.

Multiply each term in by to eliminate the fractions.

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Multiply each term in by .

Simplify the left side.

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Rewrite using the commutative property of multiplication.

Multiply .

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Combine and .

Multiply by .

Cancel the common factor of .

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Cancel the common factor.

Rewrite the expression.

Simplify the right side.

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Cancel the common factor of .

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Cancel the common factor.

Rewrite the expression.

Apply the distributive property.

Multiply.

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Multiply by .

Multiply by .

Solve the equation.

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Rewrite the equation as .

Move all terms not containing to the right side of the equation.

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Subtract from both sides of the equation.

Subtract from .

Divide each term in by and simplify.

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Divide each term in by .

Simplify the left side.

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Cancel the common factor of .

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Cancel the common factor.

Divide by .

Simplify the right side.

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Divide by .

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