Solve 1/x=1/-35+1/59

$$\frac { 1 } { x } = \frac { 1 } { - 35 } + \frac { 1 } { 59 }$$

Solve for x

$$x = -\frac{2065}{24} = -86\frac{1}{24} \approx -86.041666667$$

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 2065x, the least common multiple of x,-35,59.

$$2065=-59x+2065x\times \frac{1}{59}$$

Multiply 2065 and \frac{1}{59} to get \frac{2065}{59}.

$$2065=-59x+\frac{2065}{59}x$$

Divide 2065 by 59 to get 35.

$$2065=-59x+35x$$

Combine -59x and 35x to get -24x.

$$2065=-24x$$

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

$$-24x=2065$$

Divide both sides by -24.

$$x=\frac{2065}{-24}$$

Fraction \frac{2065}{-24} can be rewritten as -\frac{2065}{24} by extracting the negative sign.

$$x=-\frac{2065}{24}$$