Chapter 1: Q34 (page 10)

Find the value of the variable.
$3 x = 2 x - 17$

Short Answer

Expert verified

The value of the variable is $x = - 17$ .

Step by step solution

Step 1. Subtract 2x.

First subtract 2x from both sides of the equation $3 x = 2 x - 17$ .

$3 x - (2 x) = 2 x - 17 - (2 x)$

Step 2. Combine the like terms.

To further simplify open the brackets and combine the like terms.

$\begin{array}{l} 3 x - 2 x = 2 x - 2 x - 17 \\ x = - 17 \end{array}$

Step 3. Verify the value.

In order to verify the value of x, substitute -17 for x into the equation $3 x = 2 x - 17$ .

$\begin{array}{l} 3 \times (- 17) = 2 \times (- 17) - 17 \\ - 51 = - 34 - 17 \\ - 51 = - 51 True \end{array}$

Hence, the value of the variable is $x = - 17$ .

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Find the value of the variable.
$3 x = 2 x - 17$

Short Answer

Step by step solution

Step 1. Subtract 2x.

Step 2. Combine the like terms.

Step 3. Verify the value.

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Find the value of the variable.3x=2x−17

Short Answer

Step by step solution

Step 1. Subtract 2x.

Step 2. Combine the like terms.

Step 3. Verify the value.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

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Study anywhere. Anytime. Across all devices.

Find the value of the variable.
$3 x = 2 x - 17$