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

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

Solve for x

$$x = \frac{6575}{6561} = 1\frac{14}{6561} \approx 1.002133821$$

Steps for Solving Linear Equation

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

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

Subtract 2 from -24 to get -26.

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

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

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

Subtract 2 from -78 to get -80.

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

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

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

Subtract 2 from -240 to get -242.

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

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

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

Subtract 2 from -726 to get -728.

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

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

$$3\left(3\left(3\left(2187x-2184-2\right)-2\right)-2\right)-2=127$$

Subtract 2 from -2184 to get -2186.

$$3\left(3\left(3\left(2187x-2186\right)-2\right)-2\right)-2=127$$

Use the distributive property to multiply 3 by 2187x-2186.

$$3\left(3\left(6561x-6558-2\right)-2\right)-2=127$$

Subtract 2 from -6558 to get -6560.

$$3\left(3\left(6561x-6560\right)-2\right)-2=127$$

Use the distributive property to multiply 3 by 6561x-6560.

$$3\left(19683x-19680-2\right)-2=127$$

Subtract 2 from -19680 to get -19682.

$$3\left(19683x-19682\right)-2=127$$

Use the distributive property to multiply 3 by 19683x-19682.

$$59049x-59046-2=127$$

Subtract 2 from -59046 to get -59048.

$$59049x-59048=127$$

Add 59048 to both sides.

$$59049x=127+59048$$

Add 127 and 59048 to get 59175.

$$59049x=59175$$

Divide both sides by 59049.

$$x=\frac{59175}{59049}$$

Reduce the fraction \frac{59175}{59049} to lowest terms by extracting and canceling out 9.

$$x=\frac{6575}{6561}$$