Question

Solve for the indicated variable. $$ 3 x-5=25+6 x $$

   Solve for the indicated variable.
$$
3 x-5=25+6 x
$$

Algebra and Trigonometry

Algebra and Trigonometry

Cynthia Y. Young 4th Edition

Chapter 1, Problem 15

Instant Answer

Solved by Expert Amy Jiang

06/30/2020

Step 1

$$ -5 = 25 + 6x - 3x $$ Show more…

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Solve for the indicated variable. $$ 3 x-5=25+6 x $$

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Key Concepts

Linear Equations

A linear equation is an algebraic equation in which each term is either a constant or the product of a constant and a single variable. The solution to a linear equation is found by isolating the variable, which typically involves combining like terms and performing inverse operations.

Properties of Equality

The properties of equality state that the same arithmetic operation can be performed on both sides of an equation without affecting the equality. This is a key principle in solving equations, as it justifies moving variables and constants from one side of the equation to the other.

Combining Like Terms

Combining like terms involves simplifying an algebraic expression by merging terms that have the same variable component. This process is crucial in reducing equations to a simpler form where the variable can be easily isolated and solved.

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