Solve (x-20)*1080*1.5%=81

$$( x - 20 ) \times 1080 \times 1.5 \% = 81$$

Solve for x

$$x=25$$

Steps for Solving Linear Equation

Expand \frac{1.5}{100} by multiplying both numerator and the denominator by 10.

$$\left(x-20\right)\times 1080\times \frac{15}{1000}=81$$

Reduce the fraction \frac{15}{1000} to lowest terms by extracting and canceling out 5.

$$\left(x-20\right)\times 1080\times \frac{3}{200}=81$$

Express 1080\times \frac{3}{200} as a single fraction.

$$\left(x-20\right)\times \frac{1080\times 3}{200}=81$$

Multiply 1080 and 3 to get 3240.

$$\left(x-20\right)\times \frac{3240}{200}=81$$

Reduce the fraction \frac{3240}{200} to lowest terms by extracting and canceling out 40.

$$\left(x-20\right)\times \frac{81}{5}=81$$

Use the distributive property to multiply x-20 by \frac{81}{5}.

$$x\times \frac{81}{5}-20\times \frac{81}{5}=81$$

Express -20\times \frac{81}{5} as a single fraction.

$$x\times \frac{81}{5}+\frac{-20\times 81}{5}=81$$

Multiply -20 and 81 to get -1620.

$$x\times \frac{81}{5}+\frac{-1620}{5}=81$$

Divide -1620 by 5 to get -324.

$$x\times \frac{81}{5}-324=81$$

Add 324 to both sides.

$$x\times \frac{81}{5}=81+324$$

Add 81 and 324 to get 405.

$$x\times \frac{81}{5}=405$$

Multiply both sides by \frac{5}{81}, the reciprocal of \frac{81}{5}.

$$x=405\times \frac{5}{81}$$

Express 405\times \frac{5}{81} as a single fraction.

$$x=\frac{405\times 5}{81}$$

Multiply 405 and 5 to get 2025.

$$x=\frac{2025}{81}$$

Divide 2025 by 81 to get 25.

$$x=25$$