Solve -5/7+3/x=4

$$\frac { - 5 } { 7 } + \frac { 3 } { x } = 4$$

Solve for x

$$x=\frac{7}{11}\approx 0.636363636$$

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 7,x.

$$x\left(-5\right)+7\times 3=28x$$

Multiply 7 and 3 to get 21.

$$x\left(-5\right)+21=28x$$

Subtract 28x from both sides.

$$x\left(-5\right)+21-28x=0$$

Combine x\left(-5\right) and -28x to get -33x.

$$-33x+21=0$$

Subtract 21 from both sides. Anything subtracted from zero gives its negation.

$$-33x=-21$$

Divide both sides by -33.

$$x=\frac{-21}{-33}$$

Reduce the fraction \frac{-21}{-33} to lowest terms by extracting and canceling out -3.

$$x=\frac{7}{11}$$