Solve 2x+5/2x=2/5

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

Solve for x

$$x = -\frac{25}{6} = -4\frac{1}{6} \approx -4.166666667$$

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.

$$5\left(2x+5\right)=4x$$

Use the distributive property to multiply 5 by 2x+5.

$$10x+25=4x$$

Subtract 4x from both sides.

$$10x+25-4x=0$$

Combine 10x and -4x to get 6x.

$$6x+25=0$$

Subtract 25 from both sides. Anything subtracted from zero gives its negation.

$$6x=-25$$

Divide both sides by 6.

$$x=\frac{-25}{6}$$

Fraction \frac{-25}{6} can be rewritten as -\frac{25}{6} by extracting the negative sign.

$$x=-\frac{25}{6}$$