Solve 5/x-3=9-x/4x

$$\frac { 5 } { x } - 3 = \frac { 9 - x } { 4 x }$$

Solve for x

$$x=1$$

Steps for Solving Linear Equation

Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 4x, the least common multiple of x,4x.

$$4\times 5+4x\left(-3\right)=9-x$$

Multiply 4 and 5 to get 20.

$$20+4x\left(-3\right)=9-x$$

Multiply 4 and -3 to get -12.

$$20-12x=9-x$$

Add x to both sides.

$$20-12x+x=9$$

Combine -12x and x to get -11x.

$$20-11x=9$$

Subtract 20 from both sides.

$$-11x=9-20$$

Subtract 20 from 9 to get -11.

$$-11x=-11$$

Divide both sides by -11.

$$x=\frac{-11}{-11}$$

Divide -11 by -11 to get 1.

$$x=1$$