Solve 7/x+24/7=5

$$\frac { 7 } { x } + 24 / 7 = 5$$

Solve for x

$$x = \frac{49}{11} = 4\frac{5}{11} \approx 4.454545455$$

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 7x, the least common multiple of x,7.

$$7\times 7+7x\times \frac{24}{7}=35x$$

Multiply 7 and 7 to get 49.

$$49+7x\times \frac{24}{7}=35x$$

Cancel out 7 and 7.

$$49+24x=35x$$

Subtract 35x from both sides.

$$49+24x-35x=0$$

Combine 24x and -35x to get -11x.

$$49-11x=0$$

Subtract 49 from both sides. Anything subtracted from zero gives its negation.

$$-11x=-49$$

Divide both sides by -11.

$$x=\frac{-49}{-11}$$

Fraction \frac{-49}{-11} can be simplified to \frac{49}{11} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{49}{11}$$