1/3(x+5=k)

solve for x

can you help me with this last one?

Is this what you mean?

1/3(x+5) = k

To solve the equation 1/3(x+5) = k for x, we need to isolate the variable x.

Step 1: Distribute the 1/3 to the terms inside the parentheses.

1/3(x+5) = k
(1/3)(x) + (1/3)(5) = k
x/3 + 5/3 = k

Step 2: Combine like terms.

x/3 + 5/3 = k

Step 3: Subtract 5/3 from both sides of the equation.

x/3 + 5/3 - 5/3 = k - 5/3
x/3 = k - 5/3

Step 4: Multiply both sides of the equation by 3 to isolate x.

(3)(x/3) = (k - 5/3)(3)
x = 3k - 5

Therefore, the solution for x is x = 3k - 5.