Question

3. Solve the equation. (1 point) 5x – 5 = 3x -9 0-1 O-3 0-2

Answer 1

Answer:

x = 2

Step-by-step explanation:

Solve for x:

5 x - 5 = 3 x - 9

Subtract 3 x from both sides:

(5 x - 3 x) - 5 = (3 x - 3 x) - 9

5 x - 3 x = 2 x:

2 x - 5 = (3 x - 3 x) - 9

3 x - 3 x = 0:

2 x - 5 = -9

Add 5 to both sides:

2 x + (5 - 5) = 5 - 9

5 - 5 = 0:

2 x = 5 - 9

5 - 9 = -4:

2 x = -4

Divide both sides of 2 x = -4 by 2:

(2 x)/2 = (-4)/2

2/2 = 1:

x = (-4)/2

The gcd of -4 and 2 is 2, so (-4)/2 = (2 (-2))/(2×1) = 2/2×-2 = -2:

Answer:  x = -2