Solving an equation like this means to find the value of the variable. Here, the variable is x. Solve the left side normally.
Given: 1/3(9 - 6x) = -11 Distribute: 1/3(9) + 1/3(-6x) = -11 When operating with constant numbers on a variable term, apply affects of the operation on the coefficient. So, 1/3(-6x) = -2x. 3 - 2x = -11 Isolate the variable: 3 - 3 - 2x = -11 - 3 -2x = -14 Since these are both negative, we can convert them both to being positive. 2x = 14 Simplify: 2x/2 = 14/2 <u>x = 7</u>
