Solve 0.335/760=8.95/x*1000/35*10^-3*298

$$\frac { 0.335 } { 760 } = \frac { 8.95 } { x } \times \frac { 1000 } { 35 } \times 10 ^ { - 3 } \times 298$$

Solve for x

$$x = \frac{81079840}{469} = 172878\frac{58}{469} \approx 172878.123667377$$

Steps for Solving Linear Equation

Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 5320x, the least common multiple of 760,x,35.

$$7x\times 0.335=5320\times 8.95\times \frac{1000}{35}\times 10^{-3}\times 298$$

Multiply 7 and 0.335 to get 2.345.

$$2.345x=5320\times 8.95\times \frac{1000}{35}\times 10^{-3}\times 298$$

Multiply 5320 and 8.95 to get 47614.

$$2.345x=47614\times \frac{1000}{35}\times 10^{-3}\times 298$$

Reduce the fraction \frac{1000}{35} to lowest terms by extracting and canceling out 5.

$$2.345x=47614\times \frac{200}{7}\times 10^{-3}\times 298$$

Multiply 47614 and \frac{200}{7} to get 1360400.

$$2.345x=1360400\times 10^{-3}\times 298$$

Calculate 10 to the power of -3 and get \frac{1}{1000}.

$$2.345x=1360400\times \frac{1}{1000}\times 298$$

Multiply 1360400 and \frac{1}{1000} to get \frac{6802}{5}.

$$2.345x=\frac{6802}{5}\times 298$$

Multiply \frac{6802}{5} and 298 to get \frac{2026996}{5}.

$$2.345x=\frac{2026996}{5}$$

Divide both sides by 2.345.

$$x=\frac{\frac{2026996}{5}}{2.345}$$

Express \frac{\frac{2026996}{5}}{2.345} as a single fraction.

$$x=\frac{2026996}{5\times 2.345}$$

Multiply 5 and 2.345 to get 11.725.

$$x=\frac{2026996}{11.725}$$

Expand \frac{2026996}{11.725} by multiplying both numerator and the denominator by 1000.

$$x=\frac{2026996000}{11725}$$

Reduce the fraction \frac{2026996000}{11725} to lowest terms by extracting and canceling out 25.

$$x=\frac{81079840}{469}$$