Solve x+5/10-x-5/2=x/5

$$\frac { x + 5 } { 10 } - \frac { x - 5 } { 2 } = \frac { x } { 5 }$$

Solve for x

$$x=5$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 10, the least common multiple of 10,2,5.

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

Use the distributive property to multiply -5 by x-5.

$$x+5-5x+25=2x$$

Combine x and -5x to get -4x.

$$-4x+5+25=2x$$

Add 5 and 25 to get 30.

$$-4x+30=2x$$

Subtract 2x from both sides.

$$-4x+30-2x=0$$

Combine -4x and -2x to get -6x.

$$-6x+30=0$$

Subtract 30 from both sides. Anything subtracted from zero gives its negation.

$$-6x=-30$$

Divide both sides by -6.

$$x=\frac{-30}{-6}$$

Divide -30 by -6 to get 5.

$$x=5$$