Solve 121-2x/x=5/5

$$\frac { 121 - 2 x } { x } = \frac { 5 } { 5 }$$

Solve for x

$$x = \frac{121}{3} = 40\frac{1}{3} \approx 40.333333333$$

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 5x, the least common multiple of x,5.

$$5\left(121-2x\right)=x\times 5$$

Use the distributive property to multiply 5 by 121-2x.

$$605-10x=x\times 5$$

Subtract x\times 5 from both sides.

$$605-10x-x\times 5=0$$

Combine -10x and -x\times 5 to get -15x.

$$605-15x=0$$

Subtract 605 from both sides. Anything subtracted from zero gives its negation.

$$-15x=-605$$

Divide both sides by -15.

$$x=\frac{-605}{-15}$$

Reduce the fraction \frac{-605}{-15} to lowest terms by extracting and canceling out -5.

$$x=\frac{121}{3}$$