Question

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

Answer 1

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

Answer 2

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)