How do you solve for x in this equation: 1 – x = 16 – 4x Question How do you solve for x in this equation: 1 – x = 16 – 4x in progress 0 Math Amaya 1 week 2021-09-09T11:04:51+00:00 2021-09-09T11:04:51+00:00 2 Answers 0

## Answers ( )

Answer: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

Answer:x = 5Step-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