Solve -{left(frac{1/2right)}^3-2}{2}=x-1

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

Solve for x

$$x=-\frac{1}{16}=-0.0625$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 2.

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

Calculate \frac{1}{2} to the power of 3 and get \frac{1}{8}.

$$-\frac{1}{8}-2=2x-2$$

Convert 2 to fraction \frac{16}{8}.

$$-\frac{1}{8}-\frac{16}{8}=2x-2$$

Since -\frac{1}{8} and \frac{16}{8} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-1-16}{8}=2x-2$$

Subtract 16 from -1 to get -17.

$$-\frac{17}{8}=2x-2$$

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

$$2x-2=-\frac{17}{8}$$

Add 2 to both sides.

$$2x=-\frac{17}{8}+2$$

Convert 2 to fraction \frac{16}{8}.

$$2x=-\frac{17}{8}+\frac{16}{8}$$

Since -\frac{17}{8} and \frac{16}{8} have the same denominator, add them by adding their numerators.

$$2x=\frac{-17+16}{8}$$

Add -17 and 16 to get -1.

$$2x=-\frac{1}{8}$$

Divide both sides by 2.

$$x=\frac{-\frac{1}{8}}{2}$$

Express \frac{-\frac{1}{8}}{2} as a single fraction.

$$x=\frac{-1}{8\times 2}$$

Multiply 8 and 2 to get 16.

$$x=\frac{-1}{16}$$

Fraction \frac{-1}{16} can be rewritten as -\frac{1}{16} by extracting the negative sign.

$$x=-\frac{1}{16}$$