Solve x/200=x-8/200-28

$$\frac { x } { 200 } = \frac { x - 8 } { 200 - 28 }$$

Solve for x

$$x = \frac{400}{7} = 57\frac{1}{7} \approx 57.142857143$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 200.

$$x=\frac{50}{43}\left(x-8\right)$$

Use the distributive property to multiply \frac{50}{43} by x-8.

$$x=\frac{50}{43}x+\frac{50}{43}\left(-8\right)$$

Express \frac{50}{43}\left(-8\right) as a single fraction.

$$x=\frac{50}{43}x+\frac{50\left(-8\right)}{43}$$

Multiply 50 and -8 to get -400.

$$x=\frac{50}{43}x+\frac{-400}{43}$$

Fraction \frac{-400}{43} can be rewritten as -\frac{400}{43} by extracting the negative sign.

$$x=\frac{50}{43}x-\frac{400}{43}$$

Subtract \frac{50}{43}x from both sides.

$$x-\frac{50}{43}x=-\frac{400}{43}$$

Combine x and -\frac{50}{43}x to get -\frac{7}{43}x.

$$-\frac{7}{43}x=-\frac{400}{43}$$

Multiply both sides by -\frac{43}{7}, the reciprocal of -\frac{7}{43}.

$$x=-\frac{400}{43}\left(-\frac{43}{7}\right)$$

Multiply -\frac{400}{43} times -\frac{43}{7} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{-400\left(-43\right)}{43\times 7}$$

Do the multiplications in the fraction \frac{-400\left(-43\right)}{43\times 7}.

$$x=\frac{17200}{301}$$

Reduce the fraction \frac{17200}{301} to lowest terms by extracting and canceling out 43.

$$x=\frac{400}{7}$$