Solve -250x=1/2-200

$$- 250 x = \frac { 1 } { 2 } - 200$$

Solve for x

$$x=\frac{399}{500}=0.798$$

Steps for Solving Linear Equation

Convert 200 to fraction \frac{400}{2}.

$$-250x=\frac{1}{2}-\frac{400}{2}$$

Since \frac{1}{2} and \frac{400}{2} have the same denominator, subtract them by subtracting their numerators.

$$-250x=\frac{1-400}{2}$$

Subtract 400 from 1 to get -399.

$$-250x=-\frac{399}{2}$$

Divide both sides by -250.

$$x=\frac{-\frac{399}{2}}{-250}$$

Express \frac{-\frac{399}{2}}{-250} as a single fraction.

$$x=\frac{-399}{2\left(-250\right)}$$

Multiply 2 and -250 to get -500.

$$x=\frac{-399}{-500}$$

Fraction \frac{-399}{-500} can be simplified to \frac{399}{500} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{399}{500}$$