step 1 You know, that's probably we have 6x plus 5 plus 7x plus 3 is equal to 12x plus 4. Now in order

Question

$6 x+5+7 x+3=12 x+4$

Name: Problem 71, Chapter 2: Beginning and Intermediate Algebra
Uploaded: 2022-02-13T11:20:27-08:00
Duration: 1 min 1 s
Channel: Christopher Stanley
Description: 6 x+5+7 x+3=12 x+4

   $6 x+5+7 x+3=12 x+4$

Beginning and Intermediate Algebra

Margaret L. Lial,… 7th Edition

Chapter 2, Problem 71

Instant Answer

Solved by Expert Christopher Stanley

02/13/2022

Step 1

We have $6x + 7x$ which gives us $13x$. We also have $5 + 3$ which gives us $8$. So, the equation becomes: \[13x + 8 = 12x + 4\] Show more…

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$6 x+5+7 x+3=12 x+4$

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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. These equations graph as straight lines and are typically solved by isolating the variable on one side of the equation.

Combining Like Terms

Combining like terms involves simplifying an algebraic expression by adding or subtracting the coefficients of terms with the same variable component. This procedure reduces the equation to a simpler form, making the process of solving for the variable more straightforward.

Properties of Equality

The properties of equality allow the same mathematical operation to be performed on both sides of an equation without changing the equation's balance. These properties include adding, subtracting, multiplying, or dividing both sides by the same nonzero number, which are essential steps in isolating the variable and solving the equation.

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