step 1 So for this one, we have negative 2x plus 7 equals 43. So to get x myself first, we want to work

Question

Solve. $$ -2 x+7=43 $$

Name: Problem 42, Chapter 2: Elementary Algebra
Uploaded: 2022-01-26T17:56:43-08:00
Duration: 26 s
Channel: Emily Himsel
Description: Solve. -2 x+7=43

   Solve.
$$
-2 x+7=43
$$

Elementary Algebra

John Redden 1st Edition

Chapter 2, Problem 42

Instant Answer

Solved by Expert Emily Himsel

01/26/2022

Step 1

$$ -2x + 7 - 7 = 43 - 7 $$ This simplifies to $$ -2x = 36 $$ Show more…

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Solve. $$ -2 x+7=43 $$

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Key Concepts

Isolation of Variables

Isolating the variable is a process used in solving equations where you perform operations to get the variable by itself on one side of the equation. This often involves a sequence of inverse operations to eliminate other terms and coefficients around the variable.

Inverse Operations

Inverse operations are techniques used to undo operations performed on variables in an equation. For example, if a variable is added by a number, subtracting the same number on both sides of the equation reverses that operation, and similarly, multiplication is undone by division.

Linear Equations

A linear equation in one variable is an equation that can be written in the standard form ax + b = c, where a, b, and c are constants. These equations graph as straight lines and involve finding the value of the variable that makes the equation true.

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