Step-4

Title: Linear Equations with One Variable

Grade: 1300-a Lesson: S1-L1

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

Lesson Steps

Step Type Explanation Answer

1

Problem

Solve the equation: 2(3x - 1) = 5(2x + 4) - 3.

2

Hint

Move the variable terms to one side and the constant terms to the other side.

3

Step

After making the equation simpler

6x - 2 = 10x + 20 - 3

6x - 10x = 20 - 3 + 2

⇒ - 4x = 19

4

Step

To solve for x, we can divide both sides by - 4

\$ x = - 19/4 \$

5

Sumup

Can you summarize what you’ve understood in the above steps?

6

Choice.A

Plug in a particular value for x reveals an incorrect solution, making the equation invalid and unsuitable

\$ x = 18/4 \$

7

Choice.B

Plug in a particular value for x reveals an incorrect solution, making the equation invalid and unsuitable

\$x = - 18/4\$

8

Choice.C

Plug in a particular value for x reveals an incorrect solution, making the equation invalid and unsuitable

\$x = 19/4\$

9

Choice.D

Substitute x into the equation to verify its accuracy and obtain valid solutions for the problem

\$x = - 19/4 \$

10

Answer

Option

D

11

Sumup

Can you summarize what you’ve understood in the above steps?


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