Solve 3(3(3(9x-8)-2)-2)-2=127

$$3(3(3(9x-8)-2)-2)-2=127$$

Solve for x

$$x = \frac{41}{27} = 1\frac{14}{27} \approx 1.518518519$$

Steps for Solving Linear Equation

Use the distributive property to multiply 3 by 9x-8.

$$3\left(3\left(27x-24-2\right)-2\right)-2=127$$

Subtract 2 from -24 to get -26.

$$3\left(3\left(27x-26\right)-2\right)-2=127$$

Use the distributive property to multiply 3 by 27x-26.

$$3\left(81x-78-2\right)-2=127$$

Subtract 2 from -78 to get -80.

$$3\left(81x-80\right)-2=127$$

Use the distributive property to multiply 3 by 81x-80.

$$243x-240-2=127$$

Subtract 2 from -240 to get -242.

$$243x-242=127$$

Add 242 to both sides.

$$243x=127+242$$

Add 127 and 242 to get 369.

$$243x=369$$

Divide both sides by 243.

$$x=\frac{369}{243}$$

Reduce the fraction \frac{369}{243} to lowest terms by extracting and canceling out 9.

$$x=\frac{41}{27}$$