Step-1

Title: Linear Equations with One Variable

Grade: 10-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: 5(2x - 3) = 7x + 2.

2

Step

The given equation is simplified into

5(2x - 3) = 7x + 2

⇒ 10x - 7x = 2 + 15

3

Step

To solve for x variable value

⇒ 3x = 17

⇒ \$ x = 17/3 \$

4

Choice.A

This indicates the solution as \$13/3\$, which is approximately 4.33. However, this does not match the solution we found, which was \$17/3\$

\$x = 13/3 \$

5

Choice.B

This indicates the solution as \$18/7\$, which is approximately 2.57. Again, this doesn’t match the solution we found

\$x = 18/7\$

6

Choice.C

This indicates the solution as \$17/3\$, which is approximately 5.67. This matches the solution we found: \$17/3\$

\$x = 17/3\$

7

Choice.D

This indicates the solution as \$21/16\$, which is approximately 1.31. This doesn’t match the solution we found

\$x = 21/16\$

8

Answer

Option

C

9

Sumup

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


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