solve for x 81x + 27 = 21x - 21

To solve for x, we will first isolate the variable by manipulating the equation.

Given equation: 81x + 27 = 21x - 21

Step 1: Subtract 21x from both sides:
81x + 27 - 21x = 21x - 21 - 21x
60x + 27 = -21

Step 2: Subtract 27 from both sides:
60x + 27 - 27 = -21 - 27
60x = -48

Step 3: Divide both sides by 60:
(60x)/60 = -48/60
x = -0.8

Therefore, the solution to the equation is x = -0.8.