Question

This equation has one solution.

3(x - 2) + 4x = 10(x + 1)
What is the solution?
-5
-2
-16/3
-16/7

Answer 1

-16/3 =x

Explanation:

3(x - 2) + 4x = 10(x + 1)

Distribute

3x -6 +4x = 10x +10

Combine like terms

7x -6 = 10x +10

Subtract 7x from each side

7x-7x-6 = 10x-7x +10

-6 = 3x+10

Subtract 10 from each side

-6-10 =3x+10-10

-16 = 3x

Divide each side by 3

-16/3 = 3x/3

-16/3 =x