Step-3

Title: Proportion

Grade: 8-a Lesson: S2-L6

Explanation: Hello Students, time to practice and review the steps for the problem.

Lesson Steps

Step Type Explanation Answer

1

Problem

Solving the Proportion \$(2x + 1) : 3\$ = \$(x + 2) : 3\$.

2

Step

Given Proportion.

\$(2x + 1) : 3\$ = \$(x + 2) : 3\$

3

Step

First, convert the provided proportion into a fraction.

\$(2x + 1) / 3\$ = \$(x + 2) / 3\$

4

Step

To solve the proportion, begin by cross-multiplying.

\$(2x + 1)3\$ = \$(x + 2)3\$
⇒\$6x + 3\$ = \$3x + 6\$

5

Step

Move the variables to one side and the constants to the other side carefully.

\$6x - 3x = 6 - 3\$

6

Step

Divide both sides by the number connected to the variable

\$(3x)/3 = 3/3\$

7

Step

The value of x is:

\$x = 1\$

8

Answer

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