Question

Drag justifications into the table to explain each step in solving the equation three fourths left-parenthesis x minus 3 right-parenthesis equals five eighths x plus five fourths x.

Response area with 5 blank spaces
Step Justification
three fourths left-parenthesis x minus 3 right-parenthesis equals five eighths x plus five fourths x given
three fourths x minus nine fourths equals five eighths x plus five fourths x
Blank space 1 empty

6 x minus 18 equals 5 x plus 10 x
Blank space 2 empty

6 x minus 18 equals 15 x
Blank space 3 empty

negative 18 equals 9 x
Blank space 4 empty

negative 2 equals x
Blank space 5 empty


Answer options with 6 options.

Answer 1

Sure! Here are the correct justifications for each step in solving the equation:

Step Justification
three fourths left-parenthesis x minus 3 right-parenthesis equals five eighths x plus five fourths x given
three fourths x minus nine fourths equals five eighths x plus five fourths x **Distribute \(\frac{3}{4}\) to both terms in the parentheses**
6 x minus 18 equals 5 x plus 10 x **Multiply both sides by 4 to eliminate the fractions**
6 x minus 18 equals 15 x **Combine like terms on the right**
negative 18 equals 9 x **Subtract \(6x\) from both sides**
negative 2 equals x **Divide both sides by 9**

Now, you can place the correct justifications into the blank spaces of your table.