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

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

Solve for x

$$x = \frac{257}{243} = 1\frac{14}{243} \approx 1.057613169$$

Steps for Solving Linear Equation

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

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

Subtract 2 from -24 to get -26.

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

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

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

Subtract 2 from -78 to get -80.

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

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

$$3\left(3\left(243x-240-2\right)-2\right)-2=127$$

Subtract 2 from -240 to get -242.

$$3\left(3\left(243x-242\right)-2\right)-2=127$$

Use the distributive property to multiply 3 by 243x-242.

$$3\left(729x-726-2\right)-2=127$$

Subtract 2 from -726 to get -728.

$$3\left(729x-728\right)-2=127$$

Use the distributive property to multiply 3 by 729x-728.

$$2187x-2184-2=127$$

Subtract 2 from -2184 to get -2186.

$$2187x-2186=127$$

Add 2186 to both sides.

$$2187x=127+2186$$

Add 127 and 2186 to get 2313.

$$2187x=2313$$

Divide both sides by 2187.

$$x=\frac{2313}{2187}$$

Reduce the fraction \frac{2313}{2187} to lowest terms by extracting and canceling out 9.

$$x=\frac{257}{243}$$