How do you solve for x in this equation: 1 - x = 16 - 4x

x=5

Step-by-step explanation:

1-x=16-4x

1-x - (-4x) = 16

1-x+4x=16

1+3x=16

3x=16-1

3x=15

x=15/3

x=5

x = 5

Step-by-step explanation:

Solve for x:

1 - x = 16 - 4 x

Add 4 x to both sides:

4 x - x + 1 = (4 x - 4 x) + 16

4 x - 4 x = 0:

4 x - x + 1 = 16

4 x - x = 3 x:

3 x + 1 = 16

Subtract 1 from both sides:

3 x + (1 - 1) = 16 - 1

1 - 1 = 0:

3 x = 16 - 1

16 - 1 = 15:

3 x = 15

Divide both sides of 3 x = 15 by 3:

(3 x) / 3 = 15/3

3/3 = 1:

x = 15/3

The gcd of 15 and 3 is 3, so 15/3 = (3*5) / (3*1) = 3/3*5 = 5:

Answer: x = 5