Solve 55/x-26=54

$$\frac { 55 } { x } - 26 = 54$$

Solve for x

$$x=\frac{11}{16}=0.6875$$

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.

$$55+x\left(-26\right)=54x$$

Subtract 54x from both sides.

$$55+x\left(-26\right)-54x=0$$

Combine x\left(-26\right) and -54x to get -80x.

$$55-80x=0$$

Subtract 55 from both sides. Anything subtracted from zero gives its negation.

$$-80x=-55$$

Divide both sides by -80.

$$x=\frac{-55}{-80}$$

Reduce the fraction \frac{-55}{-80} to lowest terms by extracting and canceling out -5.

$$x=\frac{11}{16}$$