Question

Solve each equation, and check your solution. $$ 3 x+2=14 $$

   Solve each equation, and check your solution.
$$
3 x+2=14
$$

Beginning Algebra

Beginning Algebra

Margaret L. Lial,… 11th Edition

Chapter 2, Problem 9

Instant Answer

Solved by Expert Ali Soave

06/18/2020

Step 1

Step 1: Subtract 2 from both sides of the equation: $$3x + 2 - 2 = 14 - 2$$ This simplifies to: $$3x = 12$$ Show more…

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Solve each equation, and check your solution. $$ 3 x+2=14 $$

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Key Concepts

Linear Equations

A linear equation is an equation of the first degree, meaning the variable is only raised to the power of one. The goal is to find the value of the variable that makes the equation true. Linear equations are fundamental in algebra and often require isolating the variable by using algebraic operations.

Inverse Operations

Inverse operations are used to isolate the variable in an equation by 'undoing' the operations applied to it. This typically involves performing the opposite arithmetic operation on both sides of the equation, such as subtracting a number if it is being added, or dividing if it is being multiplied. This concept is crucial for solving equations efficiently.

Verification of Solutions

Verification of solutions involves substituting the obtained solution back into the original equation to check if it satisfies the equation. This step ensures the accuracy of the solution and helps in identifying any mistakes made during the solving process.

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