Solve 1/2.6x=11.66x

$$1 / 2.6 x = 11.66 x$$

Solve for x

$$x=0$$

Steps for Solving Linear Equation

Convert decimal number 0.6 to fraction \frac{6}{10}. Reduce the fraction \frac{6}{10} to lowest terms by extracting and canceling out 2.

$$\frac{1}{2}\times \frac{3}{5}x=11.66x$$

Multiply \frac{1}{2} times \frac{3}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 3}{2\times 5}x=11.66x$$

Do the multiplications in the fraction \frac{1\times 3}{2\times 5}.

$$\frac{3}{10}x=11.66x$$

Subtract 11.66x from both sides.

$$\frac{3}{10}x-11.66x=0$$

Combine \frac{3}{10}x and -11.66x to get -\frac{284}{25}x.

$$-\frac{284}{25}x=0$$

Product of two numbers is equal to 0 if at least one of them is 0. Since -\frac{284}{25} is not equal to 0, x must be equal to 0.

$$x=0$$