Solve ((1+0.3)x+(1+0.2)*(200-x))*0.9-200=27.2

$$((1+0.3)x+(1+0.2) \times (200-x)) \times 0.9-200=27.2$$

Solve for x

$$x = \frac{1120}{9} = 124\frac{4}{9} \approx 124.444444444$$

Steps for Solving Linear Equation

Add 1 and 0.3 to get 1.3.

$$\left(1.3x+\left(1+0.2\right)\left(200-x\right)\right)\times 0.9-200=27.2$$

Add 1 and 0.2 to get 1.2.

$$\left(1.3x+1.2\left(200-x\right)\right)\times 0.9-200=27.2$$

Use the distributive property to multiply 1.2 by 200-x.

$$\left(1.3x+240-1.2x\right)\times 0.9-200=27.2$$

Combine 1.3x and -1.2x to get 0.1x.

$$\left(0.1x+240\right)\times 0.9-200=27.2$$

Use the distributive property to multiply 0.1x+240 by 0.9.

$$0.09x+216-200=27.2$$

Subtract 200 from 216 to get 16.

$$0.09x+16=27.2$$

Subtract 16 from both sides.

$$0.09x=27.2-16$$

Subtract 16 from 27.2 to get 11.2.

$$0.09x=11.2$$

Divide both sides by 0.09.

$$x=\frac{11.2}{0.09}$$

Expand \frac{11.2}{0.09} by multiplying both numerator and the denominator by 100.

$$x=\frac{1120}{9}$$