Solve 30/53x-0.48=26000

$$\frac { 30 } { 53 } x - 0.48 = 26000$$

Solve for x

$$x = \frac{17225318}{375} = 45934\frac{68}{375} \approx 45934.181333333$$

Steps for Solving Linear Equation

Add 0.48 to both sides.

$$\frac{30}{53}x=26000+0.48$$

Add 26000 and 0.48 to get 26000.48.

$$\frac{30}{53}x=26000.48$$

Multiply both sides by \frac{53}{30}, the reciprocal of \frac{30}{53}.

$$x=26000.48\times \frac{53}{30}$$

Convert decimal number 26000.48 to fraction \frac{2600048}{100}. Reduce the fraction \frac{2600048}{100} to lowest terms by extracting and canceling out 4.

$$x=\frac{650012}{25}\times \frac{53}{30}$$

Multiply \frac{650012}{25} times \frac{53}{30} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{650012\times 53}{25\times 30}$$

Do the multiplications in the fraction \frac{650012\times 53}{25\times 30}.

$$x=\frac{34450636}{750}$$

Reduce the fraction \frac{34450636}{750} to lowest terms by extracting and canceling out 2.

$$x=\frac{17225318}{375}$$