Solve x(1-1/2*2*2*2*2*2)/1-frac{1{2}}=189/4

$$\frac{ x(1- \frac{ 1 }{ 2 \times 2 \times 2 \times 2 \times 2 \times 2 } ) }{ 1- \frac{ 1 }{ 2 } } = \frac{ 189 }{ 4 }$$

Solve for x

$$x=24$$

Steps for Solving Linear Equation

Multiply 2 and 2 to get 4.

$$\frac{x\left(1-\frac{1}{4\times 2\times 2\times 2\times 2}\right)}{1-\frac{1}{2}}=\frac{189}{4}$$

Multiply 4 and 2 to get 8.

$$\frac{x\left(1-\frac{1}{8\times 2\times 2\times 2}\right)}{1-\frac{1}{2}}=\frac{189}{4}$$

Multiply 8 and 2 to get 16.

$$\frac{x\left(1-\frac{1}{16\times 2\times 2}\right)}{1-\frac{1}{2}}=\frac{189}{4}$$

Multiply 16 and 2 to get 32.

$$\frac{x\left(1-\frac{1}{32\times 2}\right)}{1-\frac{1}{2}}=\frac{189}{4}$$

Multiply 32 and 2 to get 64.

$$\frac{x\left(1-\frac{1}{64}\right)}{1-\frac{1}{2}}=\frac{189}{4}$$

Convert 1 to fraction \frac{64}{64}.

$$\frac{x\left(\frac{64}{64}-\frac{1}{64}\right)}{1-\frac{1}{2}}=\frac{189}{4}$$

Since \frac{64}{64} and \frac{1}{64} have the same denominator, subtract them by subtracting their numerators.

$$\frac{x\times \frac{64-1}{64}}{1-\frac{1}{2}}=\frac{189}{4}$$

Subtract 1 from 64 to get 63.

$$\frac{x\times \frac{63}{64}}{1-\frac{1}{2}}=\frac{189}{4}$$

Convert 1 to fraction \frac{2}{2}.

$$\frac{x\times \frac{63}{64}}{\frac{2}{2}-\frac{1}{2}}=\frac{189}{4}$$

Since \frac{2}{2} and \frac{1}{2} have the same denominator, subtract them by subtracting their numerators.

$$\frac{x\times \frac{63}{64}}{\frac{2-1}{2}}=\frac{189}{4}$$

Subtract 1 from 2 to get 1.

$$\frac{x\times \frac{63}{64}}{\frac{1}{2}}=\frac{189}{4}$$

Divide x\times \frac{63}{64} by \frac{1}{2} to get x\times \frac{63}{32}.

$$x\times \frac{63}{32}=\frac{189}{4}$$

Multiply both sides by \frac{32}{63}, the reciprocal of \frac{63}{32}.

$$x=\frac{189}{4}\times \frac{32}{63}$$

Multiply \frac{189}{4} times \frac{32}{63} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{189\times 32}{4\times 63}$$

Do the multiplications in the fraction \frac{189\times 32}{4\times 63}.

$$x=\frac{6048}{252}$$

Divide 6048 by 252 to get 24.

$$x=24$$