Solve 19/2x+4/5=11/2x

$$\frac { 19 } { 2 x } + \frac { 4 } { 5 } = \frac { 11 } { 2 x }$$

Solve for x

$$x=-5$$

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 10x, the least common multiple of 2x,5.

$$5\times 19+10x\times \frac{4}{5}=5\times 11$$

Multiply 5 and 19 to get 95.

$$95+10x\times \frac{4}{5}=5\times 11$$

Multiply 10 and \frac{4}{5} to get 8.

$$95+8x=5\times 11$$

Multiply 5 and 11 to get 55.

$$95+8x=55$$

Subtract 95 from both sides.

$$8x=55-95$$

Subtract 95 from 55 to get -40.

$$8x=-40$$

Divide both sides by 8.

$$x=\frac{-40}{8}$$

Divide -40 by 8 to get -5.

$$x=-5$$