Question

What is the solution to this equation?

8x-2(x - 5) = x + 25
A. x= 3
B. x= 7
C. x = 6
D. X= 4

Answer 1

A. x = 3

Explanation:

8x- 2(x - 5) = x + 25

Using distributive property

8 x - 2 x - 10 = x + 25

combine like terms

6 x - 10 = x + 25

subtract both side from x

6 x - x - 10 = x - x + 25

5 x - 10 = 25

Add 10 to both side

5 x - 10 + 10 = 25 - 10

5 x = 15

Divide both side by 5

5 x / 5 = 15 / 5

x = 3

Answer 2

x=3

Explanation:

8x-2(x - 5) = x + 25

Distribute

8x -2x+10 = x+25

Combine like terms

6x +10 = x+25

Subtract x from each side

6x-x +10 = x+25-x

5x +10 = 25

Subtract 10 from each side

5x-10+10 =25-10

5x= 15

Divide each side by 5

5x/5 =15/5

x=3