Solve 1/8+1/x=1/45

$$\frac { 1 } { 8 } + \frac { 1 } { x } = \frac { 1 } { 45 }$$

Solve for x

$$x = -\frac{360}{37} = -9\frac{27}{37} \approx -9.72972973$$

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 360x, the least common multiple of 8,x,45.

$$360x\times \frac{1}{8}+360=8x$$

Multiply 360 and \frac{1}{8} to get \frac{360}{8}.

$$\frac{360}{8}x+360=8x$$

Divide 360 by 8 to get 45.

$$45x+360=8x$$

Subtract 8x from both sides.

$$45x+360-8x=0$$

Combine 45x and -8x to get 37x.

$$37x+360=0$$

Subtract 360 from both sides. Anything subtracted from zero gives its negation.

$$37x=-360$$

Divide both sides by 37.

$$x=\frac{-360}{37}$$

Fraction \frac{-360}{37} can be rewritten as -\frac{360}{37} by extracting the negative sign.

$$x=-\frac{360}{37}$$