Solve 8760-x-200/8760-x=0.98

$$\frac { 8760 - x - 200 } { 8760 - x } = 0.98$$

Solve for x

$$x=-1240$$

Steps for Solving Linear Equation

Variable x cannot be equal to 8760 since division by zero is not defined. Multiply both sides of the equation by -x+8760.

$$8760-x-200=0.98\left(-x+8760\right)$$

Subtract 200 from 8760 to get 8560.

$$8560-x=0.98\left(-x+8760\right)$$

Use the distributive property to multiply 0.98 by -x+8760.

$$8560-x=-0.98x+8584.8$$

Add 0.98x to both sides.

$$8560-x+0.98x=8584.8$$

Combine -x and 0.98x to get -0.02x.

$$8560-0.02x=8584.8$$

Subtract 8560 from both sides.

$$-0.02x=8584.8-8560$$

Subtract 8560 from 8584.8 to get 24.8.

$$-0.02x=24.8$$

Divide both sides by -0.02.

$$x=\frac{24.8}{-0.02}$$

Expand \frac{24.8}{-0.02} by multiplying both numerator and the denominator by 100.

$$x=\frac{2480}{-2}$$

Divide 2480 by -2 to get -1240.

$$x=-1240$$