Question

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

Answer 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)

Answer 2

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