Solve x-12/388=x-24/326

$$\frac { x - 12 } { 388 } = \frac { x - 24 } { 326 }$$

Solve for x

$$x = \frac{2700}{31} = 87\frac{3}{31} \approx 87.096774194$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 63244, the least common multiple of 388,326.

$$163\left(x-12\right)=194\left(x-24\right)$$

Use the distributive property to multiply 163 by x-12.

$$163x-1956=194\left(x-24\right)$$

Use the distributive property to multiply 194 by x-24.

$$163x-1956=194x-4656$$

Subtract 194x from both sides.

$$163x-1956-194x=-4656$$

Combine 163x and -194x to get -31x.

$$-31x-1956=-4656$$

Add 1956 to both sides.

$$-31x=-4656+1956$$

Add -4656 and 1956 to get -2700.

$$-31x=-2700$$

Divide both sides by -31.

$$x=\frac{-2700}{-31}$$

Fraction \frac{-2700}{-31} can be simplified to \frac{2700}{31} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{2700}{31}$$