Solve (12*500/1000+1/10)*x=165

$$( \frac{ 12 \times 500 }{ 1000 } + \frac{ 1 }{ 10 } ) \times x=165$$

Solve for x

$$x = \frac{1650}{61} = 27\frac{3}{61} \approx 27.049180328$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 1000, the least common multiple of 1000,10.

$$1000\left(\frac{12\times 500}{1000}+\frac{1}{10}\right)x=165000$$

Multiply 12 and 500 to get 6000.

$$1000\left(\frac{6000}{1000}+\frac{1}{10}\right)x=165000$$

Divide 6000 by 1000 to get 6.

$$1000\left(6+\frac{1}{10}\right)x=165000$$

Convert 6 to fraction \frac{60}{10}.

$$1000\left(\frac{60}{10}+\frac{1}{10}\right)x=165000$$

Since \frac{60}{10} and \frac{1}{10} have the same denominator, add them by adding their numerators.

$$1000\times \frac{60+1}{10}x=165000$$

Add 60 and 1 to get 61.

$$1000\times \frac{61}{10}x=165000$$

Express 1000\times \frac{61}{10} as a single fraction.

$$\frac{1000\times 61}{10}x=165000$$

Multiply 1000 and 61 to get 61000.

$$\frac{61000}{10}x=165000$$

Divide 61000 by 10 to get 6100.

$$6100x=165000$$

Divide both sides by 6100.

$$x=\frac{165000}{6100}$$

Reduce the fraction \frac{165000}{6100} to lowest terms by extracting and canceling out 100.

$$x=\frac{1650}{61}$$