Solve 800+(200+5000)(4-x)-2*(200-50x)=1250

$$800 + ( 200 + 5000 ) ( 4 - x ) - 2 \times ( 200 - 50 x ) = 1250$$

Solve for x

$$x = \frac{133}{34} = 3\frac{31}{34} \approx 3.911764706$$

Steps for Solving Linear Equation

Add 200 and 5000 to get 5200.

$$800+5200\left(4-x\right)-2\left(200-50x\right)=1250$$

Use the distributive property to multiply 5200 by 4-x.

$$800+20800-5200x-2\left(200-50x\right)=1250$$

Add 800 and 20800 to get 21600.

$$21600-5200x-2\left(200-50x\right)=1250$$

Use the distributive property to multiply -2 by 200-50x.

$$21600-5200x-400+100x=1250$$

Subtract 400 from 21600 to get 21200.

$$21200-5200x+100x=1250$$

Combine -5200x and 100x to get -5100x.

$$21200-5100x=1250$$

Subtract 21200 from both sides.

$$-5100x=1250-21200$$

Subtract 21200 from 1250 to get -19950.

$$-5100x=-19950$$

Divide both sides by -5100.

$$x=\frac{-19950}{-5100}$$

Reduce the fraction \frac{-19950}{-5100} to lowest terms by extracting and canceling out -150.

$$x=\frac{133}{34}$$