Solve 74/x+78/78=20

$$\frac { 74 } { x } + \frac { 78 } { 78 } = 20$$

Solve for x

$$x = \frac{74}{19} = 3\frac{17}{19} \approx 3.894736842$$

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 78x, the least common multiple of x,78.

$$78\times 74+x\times 78=1560x$$

Multiply 78 and 74 to get 5772.

$$5772+x\times 78=1560x$$

Subtract 1560x from both sides.

$$5772+x\times 78-1560x=0$$

Combine x\times 78 and -1560x to get -1482x.

$$5772-1482x=0$$

Subtract 5772 from both sides. Anything subtracted from zero gives its negation.

$$-1482x=-5772$$

Divide both sides by -1482.

$$x=\frac{-5772}{-1482}$$

Reduce the fraction \frac{-5772}{-1482} to lowest terms by extracting and canceling out -78.

$$x=\frac{74}{19}$$