Solve 212-90/90-32=373-x/273-x

$$\frac { 212 - 90 } { 90 - 32 } = \frac { 373 - x } { 273 - x }$$

Solve for x

$$x = \frac{1459}{8} = 182\frac{3}{8} = 182.375$$

Steps for Solving Linear Equation

Variable x cannot be equal to 273 since division by zero is not defined. Multiply both sides of the equation by -x+273.

$$\left(-\frac{1}{58}x+\frac{273}{58}\right)\left(212-90\right)=373-x$$

Subtract 90 from 212 to get 122.

$$\left(-\frac{1}{58}x+\frac{273}{58}\right)\times 122=373-x$$

Use the distributive property to multiply -\frac{1}{58}x+\frac{273}{58} by 122.

$$-\frac{61}{29}x+\frac{16653}{29}=373-x$$

Add x to both sides.

$$-\frac{61}{29}x+\frac{16653}{29}+x=373$$

Combine -\frac{61}{29}x and x to get -\frac{32}{29}x.

$$-\frac{32}{29}x+\frac{16653}{29}=373$$

Subtract \frac{16653}{29} from both sides.

$$-\frac{32}{29}x=373-\frac{16653}{29}$$

Subtract \frac{16653}{29} from 373 to get -\frac{5836}{29}.

$$-\frac{32}{29}x=-\frac{5836}{29}$$

Multiply both sides by -\frac{29}{32}, the reciprocal of -\frac{32}{29}.

$$x=-\frac{5836}{29}\left(-\frac{29}{32}\right)$$

Multiply -\frac{5836}{29} and -\frac{29}{32} to get \frac{1459}{8}.

$$x=\frac{1459}{8}$$