Answer: x = 9
Explanation:
We will isolate the variable x to solve this equation.
Given:
-2/3 (x-7) = 1/6 (x+1) -3
Distribute:
-2/3x + 14/3 = 1/6 (x+1) -3
-2/3x + 14/3 = 1/6x + 1/6 -3
Combine like terms on the right side using subtraction:
-2/3x + 14/3 = 1/6x - 17/6
Subtract 1/6x from both sides of the equation:
-5/6x + 14/3 = - 17/6
Subtract 14/3 from both sides of the equation:
-5/6x = -15/2
Divide both sides of the equation by -5/6:
x = 9