Justify each step in solving the equation 4X equals seven times X - 3

4X=7X-3

Solve for X:

4 X = 7 X - 3

Subtract 7 X from both sides:

4 X - 7 X = (7 X - 7 X) - 3

4 X - 7 X = - 3 X:

-3 X = (7 X - 7 X) - 3

7 X - 7 X = 0:

-3 X = - 3

Divide both sides of - 3 X = - 3 by - 3:

(-3 X) / (-3) = (-3) / (-3)

(-3) / (-3) = 1:

X = (-3) / (-3)

(-3) / (-3) = 1:

Answer: X = 1

4x = 7 (x-3)

1. Distribute that multiplicand 7: 4x = 7x - 21

2. Group the x terms together: Subtract 4x from both sides: 0 = 3x - 21

3. Solve for x: Add 21 to both sides: 21 = 3x

4. Divide both sides by 3 to obtain x = 7 (answer)