Solve 7/2x-5/x=5

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

Solve for x

$$x=-\frac{3}{10}=-0.3$$

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 2x, the least common multiple of 2x,x.

$$7-2\times 5=10x$$

Multiply -2 and 5 to get -10.

$$7-10=10x$$

Subtract 10 from 7 to get -3.

$$-3=10x$$

Swap sides so that all variable terms are on the left hand side.

$$10x=-3$$

Divide both sides by 10.

$$x=\frac{-3}{10}$$

Fraction \frac{-3}{10} can be rewritten as -\frac{3}{10} by extracting the negative sign.

$$x=-\frac{3}{10}$$