Solve 3.64x+3.834*9255/x+9255=3.7

$$\frac { 3.64 x + 3.834 \times 9255 } { x + 9255 } = 3.7$$

Solve for x

$$x=20669.5$$

Steps for Solving Linear Equation

Variable x cannot be equal to -9255 since division by zero is not defined. Multiply both sides of the equation by x+9255.

$$3.64x+3.834\times 9255=3.7\left(x+9255\right)$$

Multiply 3.834 and 9255 to get 35483.67.

$$3.64x+35483.67=3.7\left(x+9255\right)$$

Use the distributive property to multiply 3.7 by x+9255.

$$3.64x+35483.67=3.7x+34243.5$$

Subtract 3.7x from both sides.

$$3.64x+35483.67-3.7x=34243.5$$

Combine 3.64x and -3.7x to get -0.06x.

$$-0.06x+35483.67=34243.5$$

Subtract 35483.67 from both sides.

$$-0.06x=34243.5-35483.67$$

Subtract 35483.67 from 34243.5 to get -1240.17.

$$-0.06x=-1240.17$$

Divide both sides by -0.06.

$$x=\frac{-1240.17}{-0.06}$$

Expand \frac{-1240.17}{-0.06} by multiplying both numerator and the denominator by 100.

$$x=\frac{-124017}{-6}$$

Reduce the fraction \frac{-124017}{-6} to lowest terms by extracting and canceling out -3.

$$x=\frac{41339}{2}$$