Solve 1=x(1-2^3)/1-2

$$1 = \frac { x ( 1 - 2 ^ { 3 } ) } { 1 - 2 }$$

Solve for x

$$x=\frac{1}{7}\approx 0.142857143$$

Steps for Solving Linear Equation

Calculate 2 to the power of 3 and get 8.

$$1=\frac{x\left(1-8\right)}{1-2}$$

Subtract 8 from 1 to get -7.

$$1=\frac{x\left(-7\right)}{1-2}$$

Subtract 2 from 1 to get -1.

$$1=\frac{x\left(-7\right)}{-1}$$

Anything divided by -1 gives its opposite.

$$1=-x\left(-7\right)$$

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

$$-x\left(-7\right)=1$$

Divide both sides by -1.

$$x\left(-7\right)=-1$$

Divide both sides by -7.

$$x=\frac{-1}{-7}$$

Fraction \frac{-1}{-7} can be simplified to \frac{1}{7} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{1}{7}$$