Solve 3/5x+280=x+0.1

$$\frac{ 3 }{ 5 } x+280=x+0.1$$

Solve for x

$$x=699.75$$

Steps for Solving Linear Equation

Subtract x from both sides.

$$\frac{3}{5}x+280-x=0.1$$

Combine \frac{3}{5}x and -x to get -\frac{2}{5}x.

$$-\frac{2}{5}x+280=0.1$$

Subtract 280 from both sides.

$$-\frac{2}{5}x=0.1-280$$

Subtract 280 from 0.1 to get -279.9.

$$-\frac{2}{5}x=-279.9$$

Multiply both sides by -\frac{5}{2}, the reciprocal of -\frac{2}{5}.

$$x=-279.9\left(-\frac{5}{2}\right)$$

Convert decimal number -279.9 to fraction -\frac{2799}{10}.

$$x=-\frac{2799}{10}\left(-\frac{5}{2}\right)$$

Multiply -\frac{2799}{10} times -\frac{5}{2} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{-2799\left(-5\right)}{10\times 2}$$

Do the multiplications in the fraction \frac{-2799\left(-5\right)}{10\times 2}.

$$x=\frac{13995}{20}$$

Reduce the fraction \frac{13995}{20} to lowest terms by extracting and canceling out 5.

$$x=\frac{2799}{4}$$