Solve 2/50+1/x=1/12.5

$$\frac { 2 } { 50 } + \frac { 1 } { x } = \frac { 1 } { 12.5 }$$

Solve for x

$$x=25$$

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 50x, the least common multiple of 50,x.

$$x\times 2+50=50x\times \frac{1}{12.5}$$

Expand \frac{1}{12.5} by multiplying both numerator and the denominator by 10.

$$x\times 2+50=50x\times \frac{10}{125}$$

Reduce the fraction \frac{10}{125} to lowest terms by extracting and canceling out 5.

$$x\times 2+50=50x\times \frac{2}{25}$$

Express 50\times \frac{2}{25} as a single fraction.

$$x\times 2+50=\frac{50\times 2}{25}x$$

Multiply 50 and 2 to get 100.

$$x\times 2+50=\frac{100}{25}x$$

Divide 100 by 25 to get 4.

$$x\times 2+50=4x$$

Subtract 4x from both sides.

$$x\times 2+50-4x=0$$

Combine x\times 2 and -4x to get -2x.

$$-2x+50=0$$

Subtract 50 from both sides. Anything subtracted from zero gives its negation.

$$-2x=-50$$

Divide both sides by -2.

$$x=\frac{-50}{-2}$$

Divide -50 by -2 to get 25.

$$x=25$$