Chapter 1: Q29 (page 10)

Find the value of the variable.
$8 x - 2 x = 90$

Short Answer

Expert verified

The value of the variable is $x = 15$ .

Step by step solution

Step 1. Combine the like terms.

To simplify combine the like terms 8x and 2x.

$\begin{array}{l} 8 x - 2 x = 90 \\ 6 x = 90 \end{array}$

Step 2. Divide by 10.

To find the value of variable x in the equation $6 x = 90$ , divide both sides of the equation by 6.

$\frac{6 x}{6} = \frac{90}{6}$

Step 3. Simplify the equation.

To further simplify, cancel the common factors of 6 on both sides.

$\begin{array}{l} \frac{6 x}{6} = \frac{6 \times 15}{6} \\ x = 15 \end{array}$

Step 4. Verify the value.

In order to verify the value of x, substitute 15 for x into the equation $8 x - 2 x = 90$ .

$\begin{array}{l} 8 \times 15 - 2 \times 15 = 90 \\ 120 - 30 = 90 \\ 90 = 90 True \end{array}$

Hence, the value of the variable is $x = 15$ .

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Find the value of the variable.
$8 x - 2 x = 90$

Short Answer

Step by step solution

Step 1. Combine the like terms.

Step 2. Divide by 10.

Step 3. Simplify the equation.

Step 4. Verify the value.

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Find the value of the variable.8x−2x=90

Short Answer

Step by step solution

Step 1. Combine the like terms.

Step 2. Divide by 10.

Step 3. Simplify the equation.

Step 4. Verify the value.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Statistics

Logic and Functions

Probability and Statistics

Decision Maths

Geometry

Discrete Mathematics

Study anywhere. Anytime. Across all devices.

Find the value of the variable.
$8 x - 2 x = 90$