Solve (x+3.56)*5.63=320

$$( x + 3.56 ) \times 5.63 = 320$$

Solve for x

$$x = \frac{749893}{14075} = 53\frac{3918}{14075} \approx 53.278365897$$

Steps for Solving Linear Equation

Divide both sides by 5.63.

$$x+3.56=\frac{320}{5.63}$$

Expand \frac{320}{5.63} by multiplying both numerator and the denominator by 100.

$$x+3.56=\frac{32000}{563}$$

Subtract 3.56 from both sides.

$$x=\frac{32000}{563}-3.56$$

Convert decimal number 3.56 to fraction \frac{356}{100}. Reduce the fraction \frac{356}{100} to lowest terms by extracting and canceling out 4.

$$x=\frac{32000}{563}-\frac{89}{25}$$

Least common multiple of 563 and 25 is 14075. Convert \frac{32000}{563} and \frac{89}{25} to fractions with denominator 14075.

$$x=\frac{800000}{14075}-\frac{50107}{14075}$$

Since \frac{800000}{14075} and \frac{50107}{14075} have the same denominator, subtract them by subtracting their numerators.

$$x=\frac{800000-50107}{14075}$$

Subtract 50107 from 800000 to get 749893.

$$x=\frac{749893}{14075}$$