Solve 2/x=5-x/2x+3

$$\frac{ 2 }{ x } = \frac{ 5-x }{ 2x } +3$$

Solve for x

$$x=-\frac{1}{5}=-0.2$$

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 x,2x.

$$2\times 2=5-x+2x\times 3$$

Multiply 2 and 2 to get 4.

$$4=5-x+2x\times 3$$

Multiply 2 and 3 to get 6.

$$4=5-x+6x$$

Combine -x and 6x to get 5x.

$$4=5+5x$$

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

$$5+5x=4$$

Subtract 5 from both sides.

$$5x=4-5$$

Subtract 5 from 4 to get -1.

$$5x=-1$$

Divide both sides by 5.

$$x=\frac{-1}{5}$$

Fraction \frac{-1}{5} can be rewritten as -\frac{1}{5} by extracting the negative sign.

$$x=-\frac{1}{5}$$