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

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

Solve for x

$$x = \frac{13753}{61} = 225\frac{28}{61} \approx 225.459016393$$

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.

$$\left(-\frac{1}{58}x+\frac{273}{58}\right)\left(212-32\right)=373-x$$

Subtract 32 from 212 to get 180.

$$\left(-\frac{1}{58}x+\frac{273}{58}\right)\times 180=373-x$$

Use the distributive property to multiply -\frac{1}{58}x+\frac{273}{58} by 180.

$$-\frac{90}{29}x+\frac{24570}{29}=373-x$$

Add x to both sides.

$$-\frac{90}{29}x+\frac{24570}{29}+x=373$$

Combine -\frac{90}{29}x and x to get -\frac{61}{29}x.

$$-\frac{61}{29}x+\frac{24570}{29}=373$$

Subtract \frac{24570}{29} from both sides.

$$-\frac{61}{29}x=373-\frac{24570}{29}$$

Subtract \frac{24570}{29} from 373 to get -\frac{13753}{29}.

$$-\frac{61}{29}x=-\frac{13753}{29}$$

Multiply both sides by -\frac{29}{61}, the reciprocal of -\frac{61}{29}.

$$x=-\frac{13753}{29}\left(-\frac{29}{61}\right)$$

Multiply -\frac{13753}{29} and -\frac{29}{61} to get \frac{13753}{61}.

$$x=\frac{13753}{61}$$