-4x - 5/3 = 43/3

please show work

-4x - 5/3 = 43/3

-4x = 43/3 + 5/3
-4x = 48/3

Solve for x.

Add 5/3 to both sides of the equation; then divide both sides by -4. You should be left with x on the left side of the equation, and the correct answer on the right side.

Show your work if you need further assistance.

To solve the equation -4x - 5/3 = 43/3, we need to isolate the variable x.

Step 1: First, let's get rid of the fraction on the left side of the equation by multiplying the entire equation by the denominator, which is 3.
3 * (-4x - 5/3) = 3 * (43/3)
-12x - 5 = 43

Step 2: Next, let's isolate the variable x by moving the constant term (-5) to the other side of the equation.
-12x - 5 + 5 = 43 + 5
-12x = 48

Step 3: Now we can solve for x by dividing both sides of the equation by the coefficient of x, which is -12.
(-12x) / -12 = 48 / -12
x = -4

Therefore, the solution to the equation -4x - 5/3 = 43/3 is x = -4.