Solve 1.8=86-0/30-x

$$1.8 = \frac { 86 - 0 } { 30 - x }$$

Solve for x

$$x = -\frac{160}{9} = -17\frac{7}{9} \approx -17.777777778$$

Steps for Solving Linear Equation

Variable x cannot be equal to 30 since division by zero is not defined. Multiply both sides of the equation by -x+30.

$$1.8\left(-x+30\right)=86-0$$

Use the distributive property to multiply 1.8 by -x+30.

$$-1.8x+54=86-0$$

Subtract 0 from 86 to get 86.

$$-1.8x+54=86$$

Subtract 54 from both sides.

$$-1.8x=86-54$$

Subtract 54 from 86 to get 32.

$$-1.8x=32$$

Divide both sides by -1.8.

$$x=\frac{32}{-1.8}$$

Expand \frac{32}{-1.8} by multiplying both numerator and the denominator by 10.

$$x=\frac{320}{-18}$$

Reduce the fraction \frac{320}{-18} to lowest terms by extracting and canceling out 2.

$$x=-\frac{160}{9}$$