Solve 0.5+0.7x/x=0.86

$$\frac { 0.5 + 0.7 x } { x } = 0.86$$

Solve for x

$$x=3.125$$

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.

$$0.5+0.7x=0.86x$$

Subtract 0.86x from both sides.

$$0.5+0.7x-0.86x=0$$

Combine 0.7x and -0.86x to get -0.16x.

$$0.5-0.16x=0$$

Subtract 0.5 from both sides. Anything subtracted from zero gives its negation.

$$-0.16x=-0.5$$

Divide both sides by -0.16.

$$x=\frac{-0.5}{-0.16}$$

Expand \frac{-0.5}{-0.16} by multiplying both numerator and the denominator by 100.

$$x=\frac{-50}{-16}$$

Reduce the fraction \frac{-50}{-16} to lowest terms by extracting and canceling out -2.

$$x=\frac{25}{8}$$