Solve 5920/32145*514*13+5231.92=x

$$\frac{ 5920 }{ 3214 } 5 \cdot 514 \cdot 13+5231.92 = x$$

Solve for x

$$x = \frac{2682532386}{40175} = 66771\frac{7461}{40175} \approx 66771.185712508$$

Steps for Solving Linear Equation

Reduce the fraction \frac{5920}{3214} to lowest terms by extracting and canceling out 2.

$$\frac{2960}{1607}\times 5\times 514\times 13+5231.92=x$$

Express \frac{2960}{1607}\times 5 as a single fraction.

$$\frac{2960\times 5}{1607}\times 514\times 13+5231.92=x$$

Multiply 2960 and 5 to get 14800.

$$\frac{14800}{1607}\times 514\times 13+5231.92=x$$

Express \frac{14800}{1607}\times 514 as a single fraction.

$$\frac{14800\times 514}{1607}\times 13+5231.92=x$$

Multiply 14800 and 514 to get 7607200.

$$\frac{7607200}{1607}\times 13+5231.92=x$$

Express \frac{7607200}{1607}\times 13 as a single fraction.

$$\frac{7607200\times 13}{1607}+5231.92=x$$

Multiply 7607200 and 13 to get 98893600.

$$\frac{98893600}{1607}+5231.92=x$$

Convert decimal number 5231.92 to fraction \frac{523192}{100}. Reduce the fraction \frac{523192}{100} to lowest terms by extracting and canceling out 4.

$$\frac{98893600}{1607}+\frac{130798}{25}=x$$

Least common multiple of 1607 and 25 is 40175. Convert \frac{98893600}{1607} and \frac{130798}{25} to fractions with denominator 40175.

$$\frac{2472340000}{40175}+\frac{210192386}{40175}=x$$

Since \frac{2472340000}{40175} and \frac{210192386}{40175} have the same denominator, add them by adding their numerators.

$$\frac{2472340000+210192386}{40175}=x$$

Add 2472340000 and 210192386 to get 2682532386.

$$\frac{2682532386}{40175}=x$$

Swap sides so that all variable terms are on the left hand side.

$$x=\frac{2682532386}{40175}$$