Chapter 2: Q. 249 (page 252)

In the following exercise, solve each linear equation.
$- 2 (11 - 7 x) + 54 = 4$

Short Answer

Expert verified

The solution of the given equation is $x = - 2 .$

Step by step solution

Step 1. Given information

The given equation is $- 2 (11 - 7 x) + 54 = 4$ .

We have to solve the given equation.

Step 2. Solving the given equation

$\begin{array}{l} Now, \\ \Rightarrow - 2 (11 - 7 x) + 54 = 4 \\ \Rightarrow - 22 + 14 x + 54 = 4 [UsetheDistributiveProperty] \\ \Rightarrow 32 + 14 x = 4 [Combinetheliketerms] \\ \Rightarrow 32 + 14 x - 32 = 4 - 32 [Subtract 32 fromboththesides] \\ \Rightarrow 14 x = - 28 \\ \Rightarrow \frac{14 x}{14} = \frac{- 28}{14} [Divideboththesidesby 14] \\ \Rightarrow x = - 2 \end{array}$

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In the following exercise, solve each linear equation.
$- 2 (11 - 7 x) + 54 = 4$

Short Answer

Step by step solution

Step 1. Given information

Step 2. Solving the given equation

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In the following exercise, solve each linear equation.−211−7x+54=4

Short Answer

Step by step solution

Step 1. Given information

Step 2. Solving the given equation

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Pure Maths

Decision Maths

Mechanics Maths

Theoretical and Mathematical Physics

Probability and Statistics

Applied Mathematics

Study anywhere. Anytime. Across all devices.

In the following exercise, solve each linear equation.
$- 2 (11 - 7 x) + 54 = 4$