Solve x-(25%)-(4%)(x)-(10%x)=45

$$x - ( 25 \% ) - ( 4 \% ) ( x ) - ( 10 \% x ) = 45$$

Solve for x

$$x = \frac{4525}{86} = 52\frac{53}{86} \approx 52.61627907$$

Steps for Solving Linear Equation

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

$$x-\frac{1}{4}-\frac{4}{100}x-\frac{10}{100}x=45$$

Reduce the fraction \frac{4}{100} to lowest terms by extracting and canceling out 4.

$$x-\frac{1}{4}-\frac{1}{25}x-\frac{10}{100}x=45$$

Combine x and -\frac{1}{25}x to get \frac{24}{25}x.

$$\frac{24}{25}x-\frac{1}{4}-\frac{10}{100}x=45$$

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

$$\frac{24}{25}x-\frac{1}{4}-\frac{1}{10}x=45$$

Combine \frac{24}{25}x and -\frac{1}{10}x to get \frac{43}{50}x.

$$\frac{43}{50}x-\frac{1}{4}=45$$

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

$$\frac{43}{50}x=45+\frac{1}{4}$$

Convert 45 to fraction \frac{180}{4}.

$$\frac{43}{50}x=\frac{180}{4}+\frac{1}{4}$$

Since \frac{180}{4} and \frac{1}{4} have the same denominator, add them by adding their numerators.

$$\frac{43}{50}x=\frac{180+1}{4}$$

Add 180 and 1 to get 181.

$$\frac{43}{50}x=\frac{181}{4}$$

Multiply both sides by \frac{50}{43}, the reciprocal of \frac{43}{50}.

$$x=\frac{181}{4}\times \frac{50}{43}$$

Multiply \frac{181}{4} times \frac{50}{43} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{181\times 50}{4\times 43}$$

Do the multiplications in the fraction \frac{181\times 50}{4\times 43}.

$$x=\frac{9050}{172}$$

Reduce the fraction \frac{9050}{172} to lowest terms by extracting and canceling out 2.

$$x=\frac{4525}{86}$$