Step-3

Title: Solve the equation of the fractions

Grade: 7-a Lesson: S4-L6

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

Lesson Steps

Step Type Explanation Answer

1

Problem

Given that:
\$ 3/2(x + 6) = 2/3(x - 3) \$

2

Hint

After simplification

\$ (3(x + 6))/2 = (2(x - 3))/3 \$

3

Step

After multiplication

\$ (3x + 18)/2 = (2x - 6)/3 \$

4

Step

Multiply both sides on \$'2\times3'\$

\$ (3x + 18)/\cancel(2) \times \cancel(2)\times 3 = (2x - 6)/\cancel(3) \times cancel(3) \times 2 \$

5

Step

After simplification

\$ 3(3x + 18) = 2(2x - 6) \$

6

Step

After cancellation

\$ 9x + 54 = 4x - 12\$

7

Step

Substract both sides on 4x

\$ 9x - 4x + 54 = \cancel(4x) - \cancel(4x) - 12 \$

8

Step

After cancellation

\$5x + 54 = -12 \$

9

Step

Substract both sides on 54

\$ 5x + \cancel(54) - \cancel(54) = -12 - 54\$

10

Step

After cancellation

\$ 5x = -66\$

11

Step

Divide both sides on 5

\$ (\cancel(5)x)/\cancel(5) = -66/5 \$

12

Step

\$ x = -66/5\$

13

Answer

A

Tutor: Questions

Seq Type Question Audio

1

Problem

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2

Clue

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3

Hint

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4

Step

What did you learn from the Steps?

5

Step

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