Solve 40%x+600=9/10

$$40 \% x+600= \frac{ 9 }{ 10 }$$

Solve for x

$$x = -\frac{5991}{4} = -1497\frac{3}{4} = -1497.75$$

Steps for Solving Linear Equation

Reduce the fraction \frac{40}{100} to lowest terms by extracting and canceling out 20.

$$\frac{2}{5}x+600=\frac{9}{10}$$

Subtract 600 from both sides.

$$\frac{2}{5}x=\frac{9}{10}-600$$

Convert 600 to fraction \frac{6000}{10}.

$$\frac{2}{5}x=\frac{9}{10}-\frac{6000}{10}$$

Since \frac{9}{10} and \frac{6000}{10} have the same denominator, subtract them by subtracting their numerators.

$$\frac{2}{5}x=\frac{9-6000}{10}$$

Subtract 6000 from 9 to get -5991.

$$\frac{2}{5}x=-\frac{5991}{10}$$

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

$$x=-\frac{5991}{10}\times \frac{5}{2}$$

Multiply -\frac{5991}{10} times \frac{5}{2} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{-5991\times 5}{10\times 2}$$

Do the multiplications in the fraction \frac{-5991\times 5}{10\times 2}.

$$x=\frac{-29955}{20}$$

Reduce the fraction \frac{-29955}{20} to lowest terms by extracting and canceling out 5.

$$x=-\frac{5991}{4}$$