step 1 Now this problem, we want to solve 4x minus 6 plus 3x minus 6x as equal to 3 plus 10. Now, the f

Question

$4 x-6+3 x-6 x=3+10$

Name: Problem 70, Chapter 2: Beginning and Intermediate Algebra
Uploaded: 2022-02-13T11:14:34-08:00
Duration: 47 s
Channel: Christopher Stanley
Description: 4 x-6+3 x-6 x=3+10

   $4 x-6+3 x-6 x=3+10$

Beginning and Intermediate Algebra

Margaret L. Lial,… 7th Edition

Chapter 2, Problem 70

Instant Answer

Solved by Expert Christopher Stanley

02/13/2022

Step 1

We have $4x$, $3x$, and $-6x$. Adding these together gives us $x$. So, the equation becomes: \[x - 6 = 3 + 10\] Show more…

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$4 x-6+3 x-6 x=3+10$

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Key Concepts

Linear Equations

A linear equation is an equation in which the highest power of the variable is one. It typically involves constant coefficients and variables that are added, subtracted, or multiplied by constants, and the goal is to find the value of the variable that makes the equation true.

Combining Like Terms

Combining like terms involves adding or subtracting coefficients of terms that have the same variable raised to the same power. This simplification step makes the equation easier to work with by reducing the number of terms and revealing the underlying structure of the equation.

Isolating the Variable

Isolating the variable is a process in solving equations where all instances of the variable are moved to one side of the equation and all constants to the other side. This method uses inverse operations to express the variable explicitly, allowing for its value to be determined.

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