What is the solution to the equation 2/3 x + 1 = 1/6 x - 7

x = - 16

Step-by-step explanation:

2/3 x + 1 = 1/6 x - 7

Multiply both sides of the equation by 6 to eliminate the fraction

6 * (2/3 x + 1) = 6 (1/6 x - 7)

4x + 6 = x - 42

Subtract x from each side

4x-x + 6 = - 42

3x + 6 = - 42

Subtract 6 from each side

3x+6-6 = - 42-6

3x = - 48

3x/3 = - 48/3

x = - 16