Question

Solve. $$ 3 x-0.75+0.21 x=1.24 x+7.13 $$

   Solve.
$$
3 x-0.75+0.21 x=1.24 x+7.13
$$

Elementary Algebra

Elementary Algebra

John Redden 1st Edition

Chapter 2, Problem 36

Instant Answer

Solved by Expert James Kiss

01/22/2022

Step 1

21x = 3.21x - 0.75 = 1.24x + 7.13 $$ Show more…

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Solve. $$ 3 x-0.75+0.21 x=1.24 x+7.13 $$

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Key Concepts

Combining Like Terms

This concept involves combining terms in an expression that have the same variable raised to the same power in order to simplify the equation. By adding or subtracting the coefficients of like terms, the equation becomes easier to work with and can be rearranged for further steps in solving.

Isolating the Variable

Isolating the variable is a key step in solving equations where the goal is to get the variable by itself on one side of the equation. This is typically achieved by moving all terms containing the variable to one side and the constant terms to the other side using inverse operations.

Balancing the Equation

Balancing the equation means performing the same operation on both sides of the equation so that the equality is maintained. This principle is fundamental in solving equations and ensures that the equation remains equivalent as it is manipulated.

Solving Linear Equations

Solving linear equations involves a series of steps such as combining like terms, using the properties of equality, and isolating the variable. The process ultimately finds the value of the variable that makes the equation true, demonstrating the methodical approach needed for equations involving a single variable.

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