Solve 0-5/x-12=0.8

$$\frac { 0 - 5 } { x - 12 } = 0.8$$

Solve for x

$$x=5.75$$

Steps for Solving Linear Equation

Variable x cannot be equal to 12 since division by zero is not defined. Multiply both sides of the equation by x-12.

$$0-5=0.8\left(x-12\right)$$

Subtract 5 from 0 to get -5.

$$-5=0.8\left(x-12\right)$$

Use the distributive property to multiply 0.8 by x-12.

$$-5=0.8x-9.6$$

Swap sides so that all variable terms are on the left hand side.

$$0.8x-9.6=-5$$

Add 9.6 to both sides.

$$0.8x=-5+9.6$$

Add -5 and 9.6 to get 4.6.

$$0.8x=4.6$$

Divide both sides by 0.8.

$$x=\frac{4.6}{0.8}$$

Expand \frac{4.6}{0.8} by multiplying both numerator and the denominator by 10.

$$x=\frac{46}{8}$$

Reduce the fraction \frac{46}{8} to lowest terms by extracting and canceling out 2.

$$x=\frac{23}{4}$$