Solve 1/x=1/-30+1/44

$$\frac { 1 } { x } = \frac { 1 } { - 30 } + \frac { 1 } { 44 }$$

Solve for x

$$x = -\frac{660}{7} = -94\frac{2}{7} \approx -94.285714286$$

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 660x, the least common multiple of x,-30,44.

$$660=-22x+660x\times \frac{1}{44}$$

Multiply 660 and \frac{1}{44} to get \frac{660}{44}.

$$660=-22x+\frac{660}{44}x$$

Divide 660 by 44 to get 15.

$$660=-22x+15x$$

Combine -22x and 15x to get -7x.

$$660=-7x$$

Swap sides so that all variable terms are on the left hand side.

$$-7x=660$$

Divide both sides by -7.

$$x=\frac{660}{-7}$$

Fraction \frac{660}{-7} can be rewritten as -\frac{660}{7} by extracting the negative sign.

$$x=-\frac{660}{7}$$