Solve (780-22.5)*22.7/297=760*x/273

$$\frac { ( 780 - 22.5 ) \times 22.7 } { 297 } = \frac { 760 \times x } { 273 }$$

Solve for x

$$x = \frac{2086357}{100320} = 20\frac{79957}{100320} \approx 20.797019537$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 27027, the least common multiple of 297,273.

$$91\left(780-22.5\right)\times 22.7=99\times 760x$$

Subtract 22.5 from 780 to get 757.5.

$$91\times 757.5\times 22.7=99\times 760x$$

Multiply 91 and 757.5 to get 68932.5.

$$68932.5\times 22.7=99\times 760x$$

Multiply 68932.5 and 22.7 to get 1564767.75.

$$1564767.75=99\times 760x$$

Multiply 99 and 760 to get 75240.

$$1564767.75=75240x$$

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

$$75240x=1564767.75$$

Divide both sides by 75240.

$$x=\frac{1564767.75}{75240}$$

Expand \frac{1564767.75}{75240} by multiplying both numerator and the denominator by 100.

$$x=\frac{156476775}{7524000}$$

Reduce the fraction \frac{156476775}{7524000} to lowest terms by extracting and canceling out 75.

$$x=\frac{2086357}{100320}$$