Solve 10/100x+(x-10/100x)*6.25/100+80/100x+43+50

$$\frac { 10 } { 100 } x + ( x - \frac { 10 } { 100 } x ) \times \frac { 6.25 } { 100 } + \frac { 80 } { 100 } x + 43 + 50$$

Evaluate

$$\frac{153x}{160}+93$$

Solution Steps

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

$$\frac{1}{10}x+\left(x-\frac{10}{100}x\right)\times \frac{6.25}{100}+\frac{80}{100}x+43+50$$

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

$$\frac{1}{10}x+\left(x-\frac{1}{10}x\right)\times \frac{6.25}{100}+\frac{80}{100}x+43+50$$

Combine x and -\frac{1}{10}x to get \frac{9}{10}x.

$$\frac{1}{10}x+\frac{9}{10}x\times \frac{6.25}{100}+\frac{80}{100}x+43+50$$

Expand \frac{6.25}{100} by multiplying both numerator and the denominator by 100.

$$\frac{1}{10}x+\frac{9}{10}x\times \frac{625}{10000}+\frac{80}{100}x+43+50$$

Reduce the fraction \frac{625}{10000} to lowest terms by extracting and canceling out 625.

$$\frac{1}{10}x+\frac{9}{10}x\times \frac{1}{16}+\frac{80}{100}x+43+50$$

Multiply \frac{9}{10} times \frac{1}{16} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1}{10}x+\frac{9\times 1}{10\times 16}x+\frac{80}{100}x+43+50$$

Do the multiplications in the fraction \frac{9\times 1}{10\times 16}.

$$\frac{1}{10}x+\frac{9}{160}x+\frac{80}{100}x+43+50$$

Combine \frac{1}{10}x and \frac{9}{160}x to get \frac{5}{32}x.

$$\frac{5}{32}x+\frac{80}{100}x+43+50$$

Reduce the fraction \frac{80}{100} to lowest terms by extracting and canceling out 20.

$$\frac{5}{32}x+\frac{4}{5}x+43+50$$

Combine \frac{5}{32}x and \frac{4}{5}x to get \frac{153}{160}x.

$$\frac{153}{160}x+43+50$$

Add 43 and 50 to get 93.

$$\frac{153}{160}x+93$$

Expand

$$\frac{153x}{160}+93$$

Solution Steps

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

$$\frac{1}{10}x+\left(x-\frac{10}{100}x\right)\times \frac{6.25}{100}+\frac{80}{100}x+43+50$$

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

$$\frac{1}{10}x+\left(x-\frac{1}{10}x\right)\times \frac{6.25}{100}+\frac{80}{100}x+43+50$$

Combine x and -\frac{1}{10}x to get \frac{9}{10}x.

$$\frac{1}{10}x+\frac{9}{10}x\times \frac{6.25}{100}+\frac{80}{100}x+43+50$$

Expand \frac{6.25}{100} by multiplying both numerator and the denominator by 100.

$$\frac{1}{10}x+\frac{9}{10}x\times \frac{625}{10000}+\frac{80}{100}x+43+50$$

Reduce the fraction \frac{625}{10000} to lowest terms by extracting and canceling out 625.

$$\frac{1}{10}x+\frac{9}{10}x\times \frac{1}{16}+\frac{80}{100}x+43+50$$

Multiply \frac{9}{10} times \frac{1}{16} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1}{10}x+\frac{9\times 1}{10\times 16}x+\frac{80}{100}x+43+50$$

Do the multiplications in the fraction \frac{9\times 1}{10\times 16}.

$$\frac{1}{10}x+\frac{9}{160}x+\frac{80}{100}x+43+50$$

Combine \frac{1}{10}x and \frac{9}{160}x to get \frac{5}{32}x.

$$\frac{5}{32}x+\frac{80}{100}x+43+50$$

Reduce the fraction \frac{80}{100} to lowest terms by extracting and canceling out 20.

$$\frac{5}{32}x+\frac{4}{5}x+43+50$$

Combine \frac{5}{32}x and \frac{4}{5}x to get \frac{153}{160}x.

$$\frac{153}{160}x+43+50$$

Add 43 and 50 to get 93.

$$\frac{153}{160}x+93$$