Question

Solve each equation. Leave your answer as a fraction if it is not an integer value. $\frac{1}{2}(x-2)=\frac{1}{3}(x+2)$

Name: Problem 109, Chapter 2: Intermediate Algebra for College Students
Uploaded: 2021-07-22T21:23:33-08:00
Duration: 1 min 36 s
Channel: Teresa Fuston
Description: Solve each equation. Leave your answer as a fraction if it is not an integer value. (1)/(2)(x-2)=(1)/(3)(x+2)

   Solve each equation. Leave your answer as a fraction if it is not an integer value. $\frac{1}{2}(x-2)=\frac{1}{3}(x+2)$

Intermediate Algebra for College Students

Allen R. Angel;… 10th Edition

Chapter 2, Problem 109

Instant Answer

Solved by Expert Teresa Fuston

07/22/2021

Step 1

$\frac{1}{2}x - \frac{1}{2}(2) = \frac{1}{3}x + \frac{1}{3}(2)$ Show more…

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Solve each equation. Leave your answer as a fraction if it is not an integer value. $\frac{1}{2}(x-2)=\frac{1}{3}(x+2)$

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Key Concepts

Linear Equations

Linear equations involve variables raised only to the first power and represent straight-line graphs. Solving these equations requires isolating the variable on one side so that the equality holds true.

Clearing Fractions

Clearing fractions is a method used to eliminate fractional coefficients by multiplying both sides of an equation by the least common denominator. This simplifies the arithmetic and makes it easier to work with the equation.

Distributive Property

The distributive property allows you to multiply a number outside the parentheses with each term inside the parentheses. This property is essential for expanding expressions and simplifying equations before combining like terms and isolating the variable.

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