Solve 42/x+7=89

$$\frac { 42 } { x } + 7 = 89$$

Solve for x

$$x=\frac{21}{41}\approx 0.512195122$$

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.

$$42+x\times 7=89x$$

Subtract 89x from both sides.

$$42+x\times 7-89x=0$$

Combine x\times 7 and -89x to get -82x.

$$42-82x=0$$

Subtract 42 from both sides. Anything subtracted from zero gives its negation.

$$-82x=-42$$

Divide both sides by -82.

$$x=\frac{-42}{-82}$$

Reduce the fraction \frac{-42}{-82} to lowest terms by extracting and canceling out -2.

$$x=\frac{21}{41}$$