Solve 381=x(1-2^7)/1-2

$$381= \frac{ x(1- { 2 }^{ 7 } ) }{ 1-2 }$$

Solve for x

$$x=3$$

Steps for Solving Linear Equation

Calculate 2 to the power of 7 and get 128.

$$381=\frac{x\left(1-128\right)}{1-2}$$

Subtract 128 from 1 to get -127.

$$381=\frac{x\left(-127\right)}{1-2}$$

Subtract 2 from 1 to get -1.

$$381=\frac{x\left(-127\right)}{-1}$$

Anything divided by -1 gives its opposite.

$$381=-x\left(-127\right)$$

Swap sides so that all variable terms are on the left hand side.

$$-x\left(-127\right)=381$$

Divide both sides by -1.

$$x\left(-127\right)=-381$$

Divide both sides by -127.

$$x=\frac{-381}{-127}$$

Divide -381 by -127 to get 3.

$$x=3$$