Solve x-(25%)-(408x)-(10%x)=41

$$x - ( 25 \% ) - ( 408 x ) - ( 10 \% x ) = 41$$

Solve for x

$$x=-\frac{275}{2714}\approx -0.101326455$$

Steps for Solving Linear Equation

Reduce the fraction \frac{25}{100} to lowest terms by extracting and canceling out 25.

$$x-\frac{1}{4}-408x-\frac{10}{100}x=41$$

Combine x and -408x to get -407x.

$$-407x-\frac{1}{4}-\frac{10}{100}x=41$$

Reduce the fraction \frac{10}{100} to lowest terms by extracting and canceling out 10.

$$-407x-\frac{1}{4}-\frac{1}{10}x=41$$

Combine -407x and -\frac{1}{10}x to get -\frac{4071}{10}x.

$$-\frac{4071}{10}x-\frac{1}{4}=41$$

Add \frac{1}{4} to both sides.

$$-\frac{4071}{10}x=41+\frac{1}{4}$$

Convert 41 to fraction \frac{164}{4}.

$$-\frac{4071}{10}x=\frac{164}{4}+\frac{1}{4}$$

Since \frac{164}{4} and \frac{1}{4} have the same denominator, add them by adding their numerators.

$$-\frac{4071}{10}x=\frac{164+1}{4}$$

Add 164 and 1 to get 165.

$$-\frac{4071}{10}x=\frac{165}{4}$$

Multiply both sides by -\frac{10}{4071}, the reciprocal of -\frac{4071}{10}.

$$x=\frac{165}{4}\left(-\frac{10}{4071}\right)$$

Multiply \frac{165}{4} times -\frac{10}{4071} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{165\left(-10\right)}{4\times 4071}$$

Do the multiplications in the fraction \frac{165\left(-10\right)}{4\times 4071}.

$$x=\frac{-1650}{16284}$$

Reduce the fraction \frac{-1650}{16284} to lowest terms by extracting and canceling out 6.

$$x=-\frac{275}{2714}$$