Solve 96+28%x=45%

$$96 + 28 \% x = 45 \%$$

Solve for x

$$x = -\frac{1365}{4} = -341\frac{1}{4} = -341.25$$

Steps for Solving Linear Equation

Reduce the fraction \frac{28}{100} to lowest terms by extracting and canceling out 4.

$$96+\frac{7}{25}x=\frac{45}{100}$$

Reduce the fraction \frac{45}{100} to lowest terms by extracting and canceling out 5.

$$96+\frac{7}{25}x=\frac{9}{20}$$

Subtract 96 from both sides.

$$\frac{7}{25}x=\frac{9}{20}-96$$

Convert 96 to fraction \frac{1920}{20}.

$$\frac{7}{25}x=\frac{9}{20}-\frac{1920}{20}$$

Since \frac{9}{20} and \frac{1920}{20} have the same denominator, subtract them by subtracting their numerators.

$$\frac{7}{25}x=\frac{9-1920}{20}$$

Subtract 1920 from 9 to get -1911.

$$\frac{7}{25}x=-\frac{1911}{20}$$

Multiply both sides by \frac{25}{7}, the reciprocal of \frac{7}{25}.

$$x=-\frac{1911}{20}\times \frac{25}{7}$$

Multiply -\frac{1911}{20} times \frac{25}{7} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{-1911\times 25}{20\times 7}$$

Do the multiplications in the fraction \frac{-1911\times 25}{20\times 7}.

$$x=\frac{-47775}{140}$$

Reduce the fraction \frac{-47775}{140} to lowest terms by extracting and canceling out 35.

$$x=-\frac{1365}{4}$$