Solve 1/x+3=10

$$\frac { 1 } { x } + 3 = 10$$

Solve for x

$$x=\frac{1}{7}\approx 0.142857143$$

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 x.

$$1+x\times 3=10x$$

Subtract 10x from both sides.

$$1+x\times 3-10x=0$$

Combine x\times 3 and -10x to get -7x.

$$1-7x=0$$

Subtract 1 from both sides. Anything subtracted from zero gives its negation.

$$-7x=-1$$

Divide both sides by -7.

$$x=\frac{-1}{-7}$$

Fraction \frac{-1}{-7} can be simplified to \frac{1}{7} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{1}{7}$$