Question

Solve for the indicated variable. $$ 5 x+10=25+2 x $$

   Solve for the indicated variable.
$$
5 x+10=25+2 x
$$

Algebra and Trigonometry

Algebra and Trigonometry

Cynthia Y. Young 4th Edition

Chapter 1, Problem 16

Instant Answer

Solved by Expert Amy Jiang

06/30/2020

Step 1

5x - 2x + 10 = 25 + 2x - 2x Show more…

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Solve for the indicated variable. $$ 5 x+10=25+2 x $$

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Key Concepts

Isolating the Variable

Isolating the variable involves using algebraic operations to get the variable on one side of the equation and the constants on the other. This process is crucial for solving the equation by determining the variable's value.

Combining Like Terms

Combining like terms is the process of simplifying expressions by adding or subtracting terms that have the same variable parts. This step helps to reduce the equation to a simpler form where the variable can be isolated.

Linear Equations

A linear equation is an equation of the first degree, where the variable has an exponent of one. Solving linear equations involves finding the value of the variable that makes the equation true.

Properties of Equality

The properties of equality allow one to add, subtract, multiply, or divide both sides of an equation by the same number without changing the equality. These principles are essential for rearranging and simplifying equations to solve for a variable.

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