Involve fractions. Clear the fractions by first multiplying by the least common denominator, and

step 1 Okay, so we want to solve the following equation by multiplying by our LCD. That's a 10 because

Involve fractions. Clear the fractions by first multiplying...

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Key Concepts

Least Common Denominator (LCD)

The least common denominator is the smallest expression that is a common multiple of the denominators in a set of fractions. It is used to rewrite fractions so that they have a common denominator, which simplifies arithmetic operations including addition, subtraction, and the elimination of fractions in an equation.

Clearing Fractions

Clearing fractions involves multiplying every term in an equation by the least common denominator. This process eliminates the fractional expressions, transforming the equation into one with whole numbers or simpler expressions, thus making it easier to solve.

Solving Linear Equations

Solving linear equations involves using algebraic operations to isolate the variable on one side of the equation. This procedure typically includes steps such as combining like terms, adding, subtracting, multiplying, or dividing both sides of the equation to find the value of the variable.

Combining Like Terms

Combining like terms is the process of simplifying an algebraic expression by merging terms that have the same variable parts. This simplification helps to reduce the complexity of an equation, making it easier to apply further algebraic techniques necessary for solving the equation.

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