Solve 5-2x/x=5/7

$$\frac{ 5-2x }{ x } = \frac{ 5 }{ 7 }$$

Solve for x

$$x = \frac{35}{19} = 1\frac{16}{19} \approx 1.842105263$$

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.

$$7\left(5-2x\right)=5x$$

Use the distributive property to multiply 7 by 5-2x.

$$35-14x=5x$$

Subtract 5x from both sides.

$$35-14x-5x=0$$

Combine -14x and -5x to get -19x.

$$35-19x=0$$

Subtract 35 from both sides. Anything subtracted from zero gives its negation.

$$-19x=-35$$

Divide both sides by -19.

$$x=\frac{-35}{-19}$$

Fraction \frac{-35}{-19} can be simplified to \frac{35}{19} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{35}{19}$$