Solve 420x+1.80(200-x)=230(20)

$$420 x + 1.80 ( 200 - x ) = 230 ( 20 )$$

Solve for x

$$x = \frac{21200}{2091} = 10\frac{290}{2091} \approx 10.138689622$$

Steps for Solving Linear Equation

Use the distributive property to multiply 1.8 by 200-x.

$$420x+360-1.8x=230\times 20$$

Combine 420x and -1.8x to get 418.2x.

$$418.2x+360=230\times 20$$

Multiply 230 and 20 to get 4600.

$$418.2x+360=4600$$

Subtract 360 from both sides.

$$418.2x=4600-360$$

Subtract 360 from 4600 to get 4240.

$$418.2x=4240$$

Divide both sides by 418.2.

$$x=\frac{4240}{418.2}$$

Expand \frac{4240}{418.2} by multiplying both numerator and the denominator by 10.

$$x=\frac{42400}{4182}$$

Reduce the fraction \frac{42400}{4182} to lowest terms by extracting and canceling out 2.

$$x=\frac{21200}{2091}$$